<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ls02_psp_1" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">W2PSQ1: Drawing Free Body Force Diagrams</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@html+block@html_W2PSPQ1"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@html+block@html_W2PSPQ1" data-block-type="html" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> Use the following problems to practice your ability to draw Free Body Force Diagrams in new situations. </div> </div> <div class="vert vert-1" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_blocks"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_blocks" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_fbd2017_atwood_machine_standard_blocks" class="problems-wrapper" role="group" aria-labelledby="fbd2017_atwood_machine_standard_blocks-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_blocks" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_blocks/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="1" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;fbd2017_atwood_machine_standard_blocks-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_blocks-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Atwood Machine: Blocks FBD &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_blocks-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;div style=&#34;width:50%;float:right&#34;&gt; &lt;image style=&#34;width:200px;display:block;padding-left:10px;padding-right:10px&#34; src=&#34;https://801x.surge.sh//static/atwood_machine_standard/setup.svg&#34;/&gt; &lt;/div&gt; &lt;p&gt;Two masses, \(m_1\) and \(m_2\) are connected by a rope strung over a massless pulley.&lt;/p&gt; &lt;p&gt;Draw a free-body diagram for the masses \(m_1\) and \(m_2\). &lt;em&gt;Be sure that your force vectors start with their tails on the appropriate object.&lt;/em&gt;&lt;/p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_fbd2017_atwood_machine_standard_blocks_2_1&#34; class=&#34;jsinput&#34; data=&#34;JSInput.getState&#34; data-getstate=&#34;JSInput.getState&#34; data-setstate=&#34;JSInput.setState&#34; data-sop=&#34;false&#34; data-processed=&#34;false&#34;&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/src/jschannel.7433acd0217e.js&#34;/&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/src/jsinput.d14d79904ed5.js&#34;/&gt; &lt;div class=&#34;unanswered&#34;&gt; &lt;iframe name=&#34;iframe_fbd2017_atwood_machine_standard_blocks_2_1&#34; id=&#34;iframe_fbd2017_atwood_machine_standard_blocks_2_1&#34; sandbox=&#34;allow-scripts allow-popups allow-same-origin allow-forms allow-pointer-lock&#34; seamless=&#34;seamless&#34; frameborder=&#34;0&#34; src=&#34;https://801x.surge.sh//freebodyresponse.html?config=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&#34; height=&#34;560&#34; width=&#34;765&#34; title=&#34;Problem Remote Content&#34;/&gt; &lt;input type=&#34;hidden&#34; name=&#34;input_fbd2017_atwood_machine_standard_blocks_2_1&#34; id=&#34;input_fbd2017_atwood_machine_standard_blocks_2_1&#34; waitfor=&#34;&#34; value=&#34;&#34;/&gt; &lt;br/&gt; &lt;p id=&#34;answer_fbd2017_atwood_machine_standard_blocks_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_fbd2017_atwood_machine_standard_blocks_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;error_message&#34; style=&#34;padding: 5px 5px 5px 5px; background-color:#FA6666; height:60px;width:400px; display: none&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_fbd2017_atwood_machine_standard_blocks_solution_1&#34;/&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Atwood Machine: Blocks FBD&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_fbd2017_atwood_machine_standard_blocks&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_fbd2017_atwood_machine_standard_blocks&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_atwood_machine_standard_blocks-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_atwood_machine_standard_blocks-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_atwood_machine_standard_blocks-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-2" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_pulley"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_pulley" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_fbd2017_atwood_machine_standard_pulley" class="problems-wrapper" role="group" aria-labelledby="fbd2017_atwood_machine_standard_pulley-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_pulley" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_pulley/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="1" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;fbd2017_atwood_machine_standard_pulley-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_pulley-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Atwood Machine: Pulley FBD &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_atwood_machine_standard_pulley-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;div style=&#34;width:50%;float:right&#34;&gt; &lt;image style=&#34;width:200px;display:block;padding-left:10px;padding-right:10px&#34; src=&#34;https://801x.surge.sh//static/atwood_machine_standard/setup.svg&#34;/&gt; &lt;/div&gt; &lt;p&gt;Let&#39;s take a closer look at how the pulley changes the direction of tension forces in the rope.&lt;/p&gt; &lt;p&gt;Draw a free-body diagram a &lt;strong&gt;system&lt;/strong&gt; consisting of the &lt;strong&gt;segment of rope in contact with the pulley&lt;/strong&gt;.&lt;/p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_fbd2017_atwood_machine_standard_pulley_2_1&#34; class=&#34;jsinput&#34; data=&#34;JSInput.getState&#34; data-getstate=&#34;JSInput.getState&#34; data-setstate=&#34;JSInput.setState&#34; data-sop=&#34;false&#34; data-processed=&#34;false&#34;&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/src/jschannel.7433acd0217e.js&#34;/&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/src/jsinput.d14d79904ed5.js&#34;/&gt; &lt;div class=&#34;unanswered&#34;&gt; &lt;iframe name=&#34;iframe_fbd2017_atwood_machine_standard_pulley_2_1&#34; id=&#34;iframe_fbd2017_atwood_machine_standard_pulley_2_1&#34; sandbox=&#34;allow-scripts allow-popups allow-same-origin allow-forms allow-pointer-lock&#34; seamless=&#34;seamless&#34; frameborder=&#34;0&#34; src=&#34;https://801x.surge.sh//freebodyresponse.html?config=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&#34; height=&#34;560&#34; width=&#34;765&#34; title=&#34;Problem Remote Content&#34;/&gt; &lt;input type=&#34;hidden&#34; name=&#34;input_fbd2017_atwood_machine_standard_pulley_2_1&#34; id=&#34;input_fbd2017_atwood_machine_standard_pulley_2_1&#34; waitfor=&#34;&#34; value=&#34;&#34;/&gt; &lt;br/&gt; &lt;p id=&#34;answer_fbd2017_atwood_machine_standard_pulley_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_fbd2017_atwood_machine_standard_pulley_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;error_message&#34; style=&#34;padding: 5px 5px 5px 5px; background-color:#FA6666; height:60px;width:400px; display: none&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_fbd2017_atwood_machine_standard_pulley_solution_1&#34;/&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Atwood Machine: Pulley FBD&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_fbd2017_atwood_machine_standard_pulley&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_fbd2017_atwood_machine_standard_pulley&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_atwood_machine_standard_pulley-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_atwood_machine_standard_pulley-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_atwood_machine_standard_pulley-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-3" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_stacked_blocks_with_pulley"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_stacked_blocks_with_pulley" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_fbd2017_stacked_blocks_with_pulley" class="problems-wrapper" role="group" aria-labelledby="fbd2017_stacked_blocks_with_pulley-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_stacked_blocks_with_pulley" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_stacked_blocks_with_pulley/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="1" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;fbd2017_stacked_blocks_with_pulley-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_stacked_blocks_with_pulley-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Stacked Blocks with Pulley &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@fbd2017_stacked_blocks_with_pulley-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;p&gt;Two blocks are stacked on a table and connected by a pulley as shown below. Somebody pushes the top block (block 2) leftwards with a force \(F\) and the blocks begin to move.&lt;/p&gt; &lt;p&gt;There is frction between blocks 1 and 2 and between block 1 and the table.&lt;/p&gt; &lt;image style=&#34;width:400px;display:block;margin-left:auto;margin-right:auto&#34; src=&#34;https://801x.surge.sh//static/stacked_blocks_with_pulley/setup.svg&#34;/&gt; &lt;p&gt;Draw free-body diagrams for block 1 and block 2. The pushing force \(F\) on block 2 has already been drawn. &lt;em&gt;Be sure that your force vectors start with their tails on the object.&lt;/em&gt;&lt;/p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_fbd2017_stacked_blocks_with_pulley_2_1&#34; class=&#34;jsinput&#34; data=&#34;JSInput.getState&#34; data-getstate=&#34;JSInput.getState&#34; data-setstate=&#34;JSInput.setState&#34; data-sop=&#34;false&#34; data-processed=&#34;false&#34;&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/src/jschannel.7433acd0217e.js&#34;/&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/src/jsinput.d14d79904ed5.js&#34;/&gt; &lt;div class=&#34;unanswered&#34;&gt; &lt;iframe name=&#34;iframe_fbd2017_stacked_blocks_with_pulley_2_1&#34; id=&#34;iframe_fbd2017_stacked_blocks_with_pulley_2_1&#34; sandbox=&#34;allow-scripts allow-popups allow-same-origin allow-forms allow-pointer-lock&#34; seamless=&#34;seamless&#34; frameborder=&#34;0&#34; src=&#34;https://801x.surge.sh//freebodyresponse.html?config=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&#34; height=&#34;560&#34; width=&#34;760&#34; title=&#34;Problem Remote Content&#34;/&gt; &lt;input type=&#34;hidden&#34; name=&#34;input_fbd2017_stacked_blocks_with_pulley_2_1&#34; id=&#34;input_fbd2017_stacked_blocks_with_pulley_2_1&#34; waitfor=&#34;&#34; value=&#34;&#34;/&gt; &lt;br/&gt; &lt;p id=&#34;answer_fbd2017_stacked_blocks_with_pulley_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_fbd2017_stacked_blocks_with_pulley_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;error_message&#34; style=&#34;padding: 5px 5px 5px 5px; background-color:#FA6666; height:60px;width:400px; display: none&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_fbd2017_stacked_blocks_with_pulley_solution_1&#34;/&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Stacked Blocks with Pulley&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_fbd2017_stacked_blocks_with_pulley&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_fbd2017_stacked_blocks_with_pulley&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_stacked_blocks_with_pulley-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_stacked_blocks_with_pulley-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;fbd2017_stacked_blocks_with_pulley-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> </div> </div>

<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ls02_04_7" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">W2PSQ2/W2PSv1: Sliding Block</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@week2ps1"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@week2ps1" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_week2ps1" class="problems-wrapper" role="group" aria-labelledby="week2ps1-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@week2ps1" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@week2ps1/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;week2ps1-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@week2ps1-problem-progress&#34; tabindex=&#34;-1&#34;&gt; W2PSQ2: Sliding Block (Practice) &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@week2ps1-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;center&gt; &lt;img src=&#34;/assets/courseware/v1/704be1e72e089bf46ce9cb148ea24ade/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_week2ps1.svg&#34; width=&#34;770&#34;/&gt; &lt;/center&gt; &lt;p&gt; A block of mass [mathjaxinline]m[/mathjaxinline] is sliding down an inclined plane of angle [mathjaxinline]\theta[/mathjaxinline] with respect to the horizontal (left figure). At the bottom of the incline there is a spring. After compressing the spring the block stops momentarily and then it starts to slide up the incline as shown in the right figure. There is kinetic friction between the block and the inclined surface. The coefficient of kinetic friction is [mathjaxinline]\mu _ k[/mathjaxinline]. The graviational force on the block is directed in the downward vertical direction. Consider the x-axis parallel to the incline surface and positive pointing down. Express your answers in terms of [mathjaxinline]g[/mathjaxinline], theta for [mathjaxinline]\theta[/mathjaxinline], and mu_k for [mathjaxinline]\mu _ k[/mathjaxinline] as needed. &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part a)&lt;/b&gt; What is the x-component of the block&#39;s acceleration vector when it is sliding down? &lt;/p&gt; &lt;p&gt;&lt;p style=&#34;display:inline&#34;&gt;[mathjaxinline]a_ x=[/mathjaxinline] &lt;/p&gt;&lt;div class=&#34;inline&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_week2ps1_2_1&#34; class=&#34;text-input-dynamath capa_inputtype inline textline&#34;&gt; &lt;div class=&#34;unanswered inline&#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_week2ps1_2_1&#34; id=&#34;input_week2ps1_2_1&#34; aria-describedby=&#34;status_week2ps1_2_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;30&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_week2ps1_2_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_week2ps1_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_week2ps1_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_week2ps1_2_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_week2ps1_2_1_dynamath&#34; name=&#34;input_week2ps1_2_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt;&lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_week2ps1_solution_1&#34;/&gt; &lt;/div&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part b)&lt;/b&gt; What is the x-component of the block&#39;s acceleration vector when it is sliding up? &lt;p style=&#34;display:inline&#34;&gt;[mathjaxinline]a_ x=[/mathjaxinline] &lt;/p&gt; &lt;div class=&#34;inline&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 2&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_week2ps1_3_1&#34; class=&#34;text-input-dynamath capa_inputtype inline textline&#34;&gt; &lt;div class=&#34;unanswered inline&#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_week2ps1_3_1&#34; id=&#34;input_week2ps1_3_1&#34; aria-describedby=&#34;status_week2ps1_3_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;30&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_week2ps1_3_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_week2ps1_3_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_week2ps1_3_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_week2ps1_3_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_week2ps1_3_1_dynamath&#34; name=&#34;input_week2ps1_3_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_week2ps1_solution_2&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ2: Sliding Block (Practice)&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_week2ps1&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_week2ps1&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;week2ps1-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;week2ps1-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;week2ps1-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-1" data-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS01"> <div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS01" data-block-type="video" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Video"} </script> <h3 class="hd hd-2">W2PSv1: Worked Example - 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<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ls02_04_3" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">W2PSQ3/W2PSv2: Pushing Stacked Blocks</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ps_week2ps3_1a"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ps_week2ps3_1a" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_ps_week2ps3_1a" class="problems-wrapper" role="group" aria-labelledby="ps_week2ps3_1a-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ps_week2ps3_1a" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@ps_week2ps3_1a/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;ps_week2ps3_1a-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@ps_week2ps3_1a-problem-progress&#34; tabindex=&#34;-1&#34;&gt; W2PSQ3-1: Pushing Stacked Blocks part a and b &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@ps_week2ps3_1a-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;p&gt; Consider two blocks that are resting one on top of the other. The lower block has mass [mathjaxinline]m_1[/mathjaxinline] and is resting on a surface. The upper block has mass [mathjaxinline]m_2&amp;lt;m_1[/mathjaxinline]. Suppose the coefficient of static friction between the blocks is [mathjaxinline]\mu _ s[/mathjaxinline]. A horizontal force of magnitude [mathjaxinline]F[/mathjaxinline] is applied to block 1 as shhown. &lt;/p&gt; &lt;center&gt; &lt;img src=&#34;/assets/courseware/v1/e2e0fdabfcd4efe5d848e90a81d01c61/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_week2ps3_1a.svg&#34; width=&#34;330&#34;/&gt; &lt;/center&gt; &lt;p&gt; The goal of this problem is to calculate the maximum value of [mathjaxinline]F[/mathjaxinline] with which the lower block can be pushed horizontally so that the two blocks move together without slipping? &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part a)&lt;/b&gt; Draw in separate figures the free force body diagrams for blocks 1 and 2. Identify the Newton&#39;s 3rd Law pairs in the force diagrams. &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part b)&lt;/b&gt; Consider the coordinates system with the +x-axis horizontal and to the right and the +y axis vertically upwards. Write down the x and y components of Newton&#39;s 2nd Law for each block. &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ps_week2ps3_1a_solution_1&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ3-1: Pushing Stacked Blocks part a and b&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_ps_week2ps3_1a&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_ps_week2ps3_1a&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1a-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1a-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1a-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-1" data-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_1"> <div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_1" data-block-type="video" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Video"} </script> <h3 class="hd hd-2">W2PSv2-1: Worked Example - Stacked Blocks - Free Body Diagrams and Applying Newtons 2nd Law</h3> <div id="video_W02PS02_1" class="video closed" data-metadata='{&#34;end&#34;: 0.0, &#34;speed&#34;: null, &#34;transcriptAvailableTranslationsUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_1/handler/transcript/available_translations&#34;, &#34;saveStateUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_1/handler/xmodule_handler/save_user_state&#34;, &#34;poster&#34;: &#34;https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/63c372f2799c4957a62bfcd3985b2c87.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ6E4THNL&amp;Expires=1728309882&amp;x-amz-security-token=IQoJb3JpZ2luX2VjENb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCXVzLWVhc3QtMSJGMEQCIBRXZCrIxvKgrRqZ7l7IN4AFMC5H1ueE0SaSZTDq%2FxSKAiAhlmT0Zcfl2nLDL%2FFJRNoEq8Of%2BkfI2RNw0iZEoHQ%2FECq6BQgvEAMaDDg1OTIwNTYzNzQxMSIMIAGaYlbo3c3jNWH4KpcFZVW4JXgtPn%2BfNzhfqHB8syQIggcd0R4XA25kD2QsTdyzFfA8%2BP542KbevgWaVCdGeJmpw0%2BNvcRiZTsJ%2FR0J1XqeH05alIQb11WcrttjbGK0FBqfgK6K2bAQ%2FcSU3YWRnUURSKw7TSP0JOTwSLvC3pcVMqNjBVCgZgmfLRvxy3%2F0GjKDNe8nDFi8psmrlZvX2iYazoUDS8qZCFmqOJAvJ3a45qWJGPSW6rHdDScR9Trni5s%2FJPrvStsziBP%2B4mpt5V4qWBKOLg0Xolfh%2BbtJ0i%2Fd3x36IO3ZaniUjGpEOGqEHh5t8kyfRLo25zBuwbedeqLKLQqC9j5JgEmnD5oYTrk%2BtVEqwIf0wzoJv1uf2028TcV2%2ByeV8kACGKSzfQBnBiWjizT4%2BqFpUlWY5G2jC%2BD8wUgci9bHytZ1XuwDA4p1r9ocO5qYm9e2deQzoWhi1hOFs%2BVNrNxLbTscplcRPYIUf4ho4tgv5icHlNYK%2BGfu07LjDCammN5fmNRppBxvUz3WmuznlmkjNOlf06JiA1bto3yh4LFunwcKxoDi4MGL73peOP8QKx0hvt%2BSJRl3F58iIi2IDjgyYuhUCXHRWJho87RMCfAyBlON9cZsPMuCME2gTQFOub9HreodzkEH2n%2BixAat6czgQjrVztvBvNnF9qDgL9C7I4kWbBqVRqxGRYMIG9GEerEn5pakrgK45iUfgwHtlnh4CdLySZNUIqWPhmVXnYLNVAOp%2FsrdLe%2FdttQ2a%2BXUh50BRpskG5uBfGEQJxl1d2xGCtEnNce1htEDkyFcLy3FG797jyUXLcyOyP6QZBrrqr3zHYYBGoTwQJRvl8YbQ7Vc2RF5YsN8R%2B%2FLp648FvRFYClkA4aoM1QaFMpkd5wQML3Lj7gGOrIBMl5CpUof2L6HmQu3gyO3QsxxWtabS1vFaXlrOY%2BQLtAMmDC5fLjJuDnsHvFlNnPYweZr9yAxlAnO%2FuSyZmW%2BEeJjNEfEj474QHOHK%2BLNRVFZJtSpG2Uu70cfFo8Ddsuq8QIhM1N%2FsHuAulho0%2BVgHEbKgX81t6meM0Qd34Bw1IguteYCJQ%2FPeJggtgpfAurAtGenq%2BARqee%2BBs7A38r6zwyIzdiT%2FQveiZLVhNqB5EoL9Q%3D%3D&amp;Signature=SK9Gydr1dmc7mO2pKhZKpD6BDHs%3D&#34;, &#34;saveStateEnabled&#34;: false, &#34;completionPercentage&#34;: 0.95, &#34;captionDataDir&#34;: null, &#34;lmsRootURL&#34;: &#34;https://openlearninglibrary.mit.edu&#34;, &#34;sources&#34;: [&#34;https://d2f1egay8yehza.cloudfront.net/MIT801XX2016-V004200_DTH.mp4&#34;], &#34;ytApiUrl&#34;: &#34;https://www.youtube.com/iframe_api&#34;, &#34;ytMetadataEndpoint&#34;: &#34;&#34;, &#34;transcriptLanguage&#34;: &#34;en&#34;, &#34;transcriptLanguages&#34;: {&#34;en&#34;: &#34;English&#34;}, &#34;prioritizeHls&#34;: false, &#34;autohideHtml5&#34;: false, &#34;recordedYoutubeIsAvailable&#34;: true, &#34;generalSpeed&#34;: 1.0, &#34;autoAdvance&#34;: false, &#34;ytTestTimeout&#34;: 1500, &#34;streams&#34;: &#34;1.00:qh2OKSBjEbg&#34;, &#34;autoplay&#34;: false, &#34;publishCompletionUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_1/handler/publish_completion&#34;, &#34;showCaptions&#34;: &#34;true&#34;, &#34;completionEnabled&#34;: false, &#34;savedVideoPosition&#34;: 0.0, &#34;transcriptTranslationUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_1/handler/transcript/translation/__lang__&#34;, &#34;start&#34;: 0.0, &#34;duration&#34;: 488.94}' data-bumper-metadata='null' data-autoadvance-enabled="False" data-poster='null' tabindex="-1" > <div class="focus_grabber first"></div> <div class="tc-wrapper"> <div class="video-wrapper"> <span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span> <span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span> <div class="video-player-pre"></div> <div class="video-player"> <div id="W02PS02_1"></div> <h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4> <h4 class="hd hd-4 video-hls-error is-hidden"> Your browser does not support this video format. 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Write your answer using some or all of the following: g, M_1 for [mathjaxinline]M_1[/mathjaxinline], M_2 for [mathjaxinline]M_2[/mathjaxinline], mu_k for [mathjaxinline]\mu _ k[/mathjaxinline] and mu_s for [mathjaxinline]\mu _ s[/mathjaxinline]. &lt;/p&gt; &lt;p&gt; &lt;p style=&#34;display:inline&#34;&gt;[mathjaxinline]F =[/mathjaxinline] &lt;/p&gt; &lt;div class=&#34;inline&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_ps_week2ps3_1c_2_1&#34; class=&#34;text-input-dynamath capa_inputtype inline textline&#34;&gt; &lt;div class=&#34;unanswered inline&#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_ps_week2ps3_1c_2_1&#34; id=&#34;input_ps_week2ps3_1c_2_1&#34; aria-describedby=&#34;status_ps_week2ps3_1c_2_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;60&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_ps_week2ps3_1c_2_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_ps_week2ps3_1c_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_ps_week2ps3_1c_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_ps_week2ps3_1c_2_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_ps_week2ps3_1c_2_1_dynamath&#34; name=&#34;input_ps_week2ps3_1c_2_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ps_week2ps3_1c_solution_1&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ3-2: Pushing Stacked Blocks part c and d.&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_ps_week2ps3_1c&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_ps_week2ps3_1c&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1c-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1c-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1c-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-3" data-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_2"> <div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_2" data-block-type="video" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Video"} </script> <h3 class="hd hd-2">W2PSv2-2: Worked Example - Stacked Blocks - Solve for the Maximum Force</h3> <div id="video_W02PS02_2" class="video closed" data-metadata='{&#34;end&#34;: 0.0, &#34;speed&#34;: null, &#34;transcriptAvailableTranslationsUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_2/handler/transcript/available_translations&#34;, &#34;saveStateUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_2/handler/xmodule_handler/save_user_state&#34;, &#34;poster&#34;: &#34;https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/a4678ac3545546509fc968d49b4d9c84.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ6E4THNL&amp;Expires=1728309882&amp;x-amz-security-token=IQoJb3JpZ2luX2VjENb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCXVzLWVhc3QtMSJGMEQCIBRXZCrIxvKgrRqZ7l7IN4AFMC5H1ueE0SaSZTDq%2FxSKAiAhlmT0Zcfl2nLDL%2FFJRNoEq8Of%2BkfI2RNw0iZEoHQ%2FECq6BQgvEAMaDDg1OTIwNTYzNzQxMSIMIAGaYlbo3c3jNWH4KpcFZVW4JXgtPn%2BfNzhfqHB8syQIggcd0R4XA25kD2QsTdyzFfA8%2BP542KbevgWaVCdGeJmpw0%2BNvcRiZTsJ%2FR0J1XqeH05alIQb11WcrttjbGK0FBqfgK6K2bAQ%2FcSU3YWRnUURSKw7TSP0JOTwSLvC3pcVMqNjBVCgZgmfLRvxy3%2F0GjKDNe8nDFi8psmrlZvX2iYazoUDS8qZCFmqOJAvJ3a45qWJGPSW6rHdDScR9Trni5s%2FJPrvStsziBP%2B4mpt5V4qWBKOLg0Xolfh%2BbtJ0i%2Fd3x36IO3ZaniUjGpEOGqEHh5t8kyfRLo25zBuwbedeqLKLQqC9j5JgEmnD5oYTrk%2BtVEqwIf0wzoJv1uf2028TcV2%2ByeV8kACGKSzfQBnBiWjizT4%2BqFpUlWY5G2jC%2BD8wUgci9bHytZ1XuwDA4p1r9ocO5qYm9e2deQzoWhi1hOFs%2BVNrNxLbTscplcRPYIUf4ho4tgv5icHlNYK%2BGfu07LjDCammN5fmNRppBxvUz3WmuznlmkjNOlf06JiA1bto3yh4LFunwcKxoDi4MGL73peOP8QKx0hvt%2BSJRl3F58iIi2IDjgyYuhUCXHRWJho87RMCfAyBlON9cZsPMuCME2gTQFOub9HreodzkEH2n%2BixAat6czgQjrVztvBvNnF9qDgL9C7I4kWbBqVRqxGRYMIG9GEerEn5pakrgK45iUfgwHtlnh4CdLySZNUIqWPhmVXnYLNVAOp%2FsrdLe%2FdttQ2a%2BXUh50BRpskG5uBfGEQJxl1d2xGCtEnNce1htEDkyFcLy3FG797jyUXLcyOyP6QZBrrqr3zHYYBGoTwQJRvl8YbQ7Vc2RF5YsN8R%2B%2FLp648FvRFYClkA4aoM1QaFMpkd5wQML3Lj7gGOrIBMl5CpUof2L6HmQu3gyO3QsxxWtabS1vFaXlrOY%2BQLtAMmDC5fLjJuDnsHvFlNnPYweZr9yAxlAnO%2FuSyZmW%2BEeJjNEfEj474QHOHK%2BLNRVFZJtSpG2Uu70cfFo8Ddsuq8QIhM1N%2FsHuAulho0%2BVgHEbKgX81t6meM0Qd34Bw1IguteYCJQ%2FPeJggtgpfAurAtGenq%2BARqee%2BBs7A38r6zwyIzdiT%2FQveiZLVhNqB5EoL9Q%3D%3D&amp;Signature=y105J1nUuYpYLwX2niMKFadQYIg%3D&#34;, &#34;saveStateEnabled&#34;: false, &#34;completionPercentage&#34;: 0.95, &#34;captionDataDir&#34;: null, &#34;lmsRootURL&#34;: &#34;https://openlearninglibrary.mit.edu&#34;, &#34;sources&#34;: [&#34;https://d2f1egay8yehza.cloudfront.net/MIT801XX2016-V004600_DTH.mp4&#34;], &#34;ytApiUrl&#34;: &#34;https://www.youtube.com/iframe_api&#34;, &#34;ytMetadataEndpoint&#34;: &#34;&#34;, &#34;transcriptLanguage&#34;: &#34;en&#34;, &#34;transcriptLanguages&#34;: {&#34;en&#34;: &#34;English&#34;}, &#34;prioritizeHls&#34;: false, &#34;autohideHtml5&#34;: false, &#34;recordedYoutubeIsAvailable&#34;: true, &#34;generalSpeed&#34;: 1.0, &#34;autoAdvance&#34;: false, &#34;ytTestTimeout&#34;: 1500, &#34;streams&#34;: &#34;1.00:iXjonuGgPcM&#34;, &#34;autoplay&#34;: false, &#34;publishCompletionUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_2/handler/publish_completion&#34;, &#34;showCaptions&#34;: &#34;true&#34;, &#34;completionEnabled&#34;: false, &#34;savedVideoPosition&#34;: 0.0, &#34;transcriptTranslationUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_2/handler/transcript/translation/__lang__&#34;, &#34;start&#34;: 0.0, &#34;duration&#34;: 279.23}' data-bumper-metadata='null' data-autoadvance-enabled="False" data-poster='null' tabindex="-1" > <div class="focus_grabber first"></div> <div class="tc-wrapper"> <div class="video-wrapper"> <span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span> <span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span> <div class="video-player-pre"></div> <div class="video-player"> <div id="W02PS02_2"></div> <h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4> <h4 class="hd hd-4 video-hls-error is-hidden"> Your browser does not support this video format. 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These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1e-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1e-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ps_week2ps3_1e-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-5" data-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_3"> <div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_3" data-block-type="video" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Video"} </script> <h3 class="hd hd-2">W2PSv2-3: Worked Example - Stacked Blocks - Choosing the System of 2 Blocks Together</h3> <div id="video_W02PS02_3" class="video closed" data-metadata='{&#34;end&#34;: 0.0, &#34;speed&#34;: null, &#34;transcriptAvailableTranslationsUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_3/handler/transcript/available_translations&#34;, &#34;saveStateUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_3/handler/xmodule_handler/save_user_state&#34;, &#34;poster&#34;: &#34;https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/96ba96dbcfd44971b8071ef80ce49cc5.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ6E4THNL&amp;Expires=1728309882&amp;x-amz-security-token=IQoJb3JpZ2luX2VjENb%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCXVzLWVhc3QtMSJGMEQCIBRXZCrIxvKgrRqZ7l7IN4AFMC5H1ueE0SaSZTDq%2FxSKAiAhlmT0Zcfl2nLDL%2FFJRNoEq8Of%2BkfI2RNw0iZEoHQ%2FECq6BQgvEAMaDDg1OTIwNTYzNzQxMSIMIAGaYlbo3c3jNWH4KpcFZVW4JXgtPn%2BfNzhfqHB8syQIggcd0R4XA25kD2QsTdyzFfA8%2BP542KbevgWaVCdGeJmpw0%2BNvcRiZTsJ%2FR0J1XqeH05alIQb11WcrttjbGK0FBqfgK6K2bAQ%2FcSU3YWRnUURSKw7TSP0JOTwSLvC3pcVMqNjBVCgZgmfLRvxy3%2F0GjKDNe8nDFi8psmrlZvX2iYazoUDS8qZCFmqOJAvJ3a45qWJGPSW6rHdDScR9Trni5s%2FJPrvStsziBP%2B4mpt5V4qWBKOLg0Xolfh%2BbtJ0i%2Fd3x36IO3ZaniUjGpEOGqEHh5t8kyfRLo25zBuwbedeqLKLQqC9j5JgEmnD5oYTrk%2BtVEqwIf0wzoJv1uf2028TcV2%2ByeV8kACGKSzfQBnBiWjizT4%2BqFpUlWY5G2jC%2BD8wUgci9bHytZ1XuwDA4p1r9ocO5qYm9e2deQzoWhi1hOFs%2BVNrNxLbTscplcRPYIUf4ho4tgv5icHlNYK%2BGfu07LjDCammN5fmNRppBxvUz3WmuznlmkjNOlf06JiA1bto3yh4LFunwcKxoDi4MGL73peOP8QKx0hvt%2BSJRl3F58iIi2IDjgyYuhUCXHRWJho87RMCfAyBlON9cZsPMuCME2gTQFOub9HreodzkEH2n%2BixAat6czgQjrVztvBvNnF9qDgL9C7I4kWbBqVRqxGRYMIG9GEerEn5pakrgK45iUfgwHtlnh4CdLySZNUIqWPhmVXnYLNVAOp%2FsrdLe%2FdttQ2a%2BXUh50BRpskG5uBfGEQJxl1d2xGCtEnNce1htEDkyFcLy3FG797jyUXLcyOyP6QZBrrqr3zHYYBGoTwQJRvl8YbQ7Vc2RF5YsN8R%2B%2FLp648FvRFYClkA4aoM1QaFMpkd5wQML3Lj7gGOrIBMl5CpUof2L6HmQu3gyO3QsxxWtabS1vFaXlrOY%2BQLtAMmDC5fLjJuDnsHvFlNnPYweZr9yAxlAnO%2FuSyZmW%2BEeJjNEfEj474QHOHK%2BLNRVFZJtSpG2Uu70cfFo8Ddsuq8QIhM1N%2FsHuAulho0%2BVgHEbKgX81t6meM0Qd34Bw1IguteYCJQ%2FPeJggtgpfAurAtGenq%2BARqee%2BBs7A38r6zwyIzdiT%2FQveiZLVhNqB5EoL9Q%3D%3D&amp;Signature=qur65GNogiac8ItiOtHhgTdWbDk%3D&#34;, &#34;saveStateEnabled&#34;: false, &#34;completionPercentage&#34;: 0.95, &#34;captionDataDir&#34;: null, &#34;lmsRootURL&#34;: &#34;https://openlearninglibrary.mit.edu&#34;, &#34;sources&#34;: [&#34;https://d2f1egay8yehza.cloudfront.net/MIT801XX2016-V004300_DTH.mp4&#34;], &#34;ytApiUrl&#34;: &#34;https://www.youtube.com/iframe_api&#34;, &#34;ytMetadataEndpoint&#34;: &#34;&#34;, &#34;transcriptLanguage&#34;: &#34;en&#34;, &#34;transcriptLanguages&#34;: {&#34;en&#34;: &#34;English&#34;}, &#34;prioritizeHls&#34;: false, &#34;autohideHtml5&#34;: false, &#34;recordedYoutubeIsAvailable&#34;: true, &#34;generalSpeed&#34;: 1.0, &#34;autoAdvance&#34;: false, &#34;ytTestTimeout&#34;: 1500, &#34;streams&#34;: &#34;1.00:B6duWLBrpjM&#34;, &#34;autoplay&#34;: false, &#34;publishCompletionUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_3/handler/publish_completion&#34;, &#34;showCaptions&#34;: &#34;true&#34;, &#34;completionEnabled&#34;: false, &#34;savedVideoPosition&#34;: 0.0, &#34;transcriptTranslationUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS02_3/handler/transcript/translation/__lang__&#34;, &#34;start&#34;: 0.0, &#34;duration&#34;: 324.57}' data-bumper-metadata='null' data-autoadvance-enabled="False" data-poster='null' tabindex="-1" > <div class="focus_grabber first"></div> <div class="tc-wrapper"> <div class="video-wrapper"> <span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span> <span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span> <div class="video-player-pre"></div> <div class="video-player"> <div id="W02PS02_3"></div> <h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4> <h4 class="hd hd-4 video-hls-error is-hidden"> Your browser does not support this video format. 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<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ls02_04_5" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">W2PSQ4/W2PSv3: Window Washer Problem</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@html+block@html-psp2_4"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@html+block@html-psp2_4" data-block-type="html" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <font size="5">W2PSQ4: Window Washer Problem (Practice)</font> </div> </div> <div class="vert vert-1" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02a"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02a" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_ls_ls02_ls02_02a" class="problems-wrapper" role="group" aria-labelledby="ls_ls02_ls02_02a-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02a" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02a/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;ls_ls02_ls02_02a-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02a-problem-progress&#34; tabindex=&#34;-1&#34;&gt; W2PSQ4-1: Identify Forces (Practice) &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02a-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;center&gt; &lt;img src=&#34;/assets/courseware/v1/86d6c9fdb9863a338ff9b3125c88fb17/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_ls02_02.svg&#34; width=&#34;330&#34;/&gt; &lt;/center&gt; &lt;p&gt; A window washer of mass [mathjaxinline]m[/mathjaxinline] is sitting on a horizontal platform of negligible mass. The platform is held up by the two pulleys and the two ropes (A and B) shown in the figure. The person is able to pull Rope B downwards in such a way that the platform accelerates upwards with an acceleration of magnitude [mathjaxinline]a[/mathjaxinline]. Assume the ropes and pulleys to be massless. The goal of the problem is to calculate the force exerted by the window washer on rope B in terms of [mathjaxinline]a[/mathjaxinline], [mathjaxinline]m[/mathjaxinline] and [mathjaxinline]g[/mathjaxinline] as needed. &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part a)&lt;/b&gt; Let [mathjaxinline]F_{wB}[/mathjaxinline] be the magnitude of the force exerted &lt;b class=&#34;bfseries&#34;&gt;by&lt;/b&gt; the &lt;b class=&#34;bfseries&#34;&gt;w&lt;/b&gt;indow washer &lt;b class=&#34;bfseries&#34;&gt;on&lt;/b&gt; rope &lt;b class=&#34;bfseries&#34;&gt;B&lt;/b&gt;, and [mathjaxinline]F_{Bw}[/mathjaxinline] be the magnitude of the force exerted &lt;b class=&#34;bfseries&#34;&gt;by&lt;/b&gt; rope &lt;b class=&#34;bfseries&#34;&gt;B&lt;/b&gt; on the &lt;b class=&#34;bfseries&#34;&gt;w&lt;/b&gt;indow washer. Which of the following statements are true? (Check all that apply.) &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div class=&#34;choicegroup capa_inputtype&#34; id=&#34;inputtype_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;fieldset aria-describedby=&#34;status_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;checkbox&#34; name=&#34;input_ls_ls02_ls02_02a_2_1[]&#34; id=&#34;input_ls_ls02_ls02_02a_2_1_choice_0&#34; class=&#34;field-input input-checkbox&#34; value=&#34;choice_0&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02a_2_1-choice_0-label&#34; for=&#34;input_ls_ls02_ls02_02a_2_1_choice_0&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;text&gt;The total force acting on the window washer is pointing upwards.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;checkbox&#34; name=&#34;input_ls_ls02_ls02_02a_2_1[]&#34; id=&#34;input_ls_ls02_ls02_02a_2_1_choice_1&#34; class=&#34;field-input input-checkbox&#34; value=&#34;choice_1&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02a_2_1-choice_1-label&#34; for=&#34;input_ls_ls02_ls02_02a_2_1_choice_1&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;text&gt;The window washer pulls rope B down and rope B pulls the window washer up.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;checkbox&#34; name=&#34;input_ls_ls02_ls02_02a_2_1[]&#34; id=&#34;input_ls_ls02_ls02_02a_2_1_choice_2&#34; class=&#34;field-input input-checkbox&#34; value=&#34;choice_2&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02a_2_1-choice_2-label&#34; for=&#34;input_ls_ls02_ls02_02a_2_1_choice_2&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;text&gt;[mathjaxinline]F_{wB} = F_{Bw}[/mathjaxinline] because they are the magnitude of a Newton 3rd law pair.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;checkbox&#34; name=&#34;input_ls_ls02_ls02_02a_2_1[]&#34; id=&#34;input_ls_ls02_ls02_02a_2_1_choice_3&#34; class=&#34;field-input input-checkbox&#34; value=&#34;choice_3&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02a_2_1-choice_3-label&#34; for=&#34;input_ls_ls02_ls02_02a_2_1_choice_3&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;text&gt;[mathjaxinline]F_{Bw} = ma[/mathjaxinline]&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;checkbox&#34; name=&#34;input_ls_ls02_ls02_02a_2_1[]&#34; id=&#34;input_ls_ls02_ls02_02a_2_1_choice_4&#34; class=&#34;field-input input-checkbox&#34; value=&#34;choice_4&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02a_2_1-choice_4-label&#34; for=&#34;input_ls_ls02_ls02_02a_2_1_choice_4&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02a_2_1&#34;&gt; &lt;text&gt;The force of tension at any point in rope B has the same magnitude.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;span id=&#34;answer_ls_ls02_ls02_02a_2_1&#34;/&gt; &lt;/fieldset&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_ls_ls02_ls02_02a_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ls_ls02_ls02_02a_solution_1&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ4-1: Identify Forces (Practice)&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_ls_ls02_ls02_02a&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_ls_ls02_ls02_02a&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ls_ls02_ls02_02a-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ls_ls02_ls02_02a-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;ls_ls02_ls02_02a-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-2" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02b"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02b" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_ls_ls02_ls02_02b" class="problems-wrapper" role="group" aria-labelledby="ls_ls02_ls02_02b-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02b" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02b/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;ls_ls02_ls02_02b-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02b-problem-progress&#34; tabindex=&#34;-1&#34;&gt; W2PSQ4-2: Free Body Diagram (Practice) &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@ls_ls02_ls02_02b-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part b)&lt;/b&gt; Consider the system to be the window washer. Draw the force free body diagram of the window washer, count the forces acting on the person. Is there enough information to solve for each of the forces? &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div class=&#34;choicegroup capa_inputtype&#34; id=&#34;inputtype_ls_ls02_ls02_02b_2_1&#34;&gt; &lt;fieldset aria-describedby=&#34;status_ls_ls02_ls02_02b_2_1&#34;&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02b_2_1&#34; id=&#34;input_ls_ls02_ls02_02b_2_1_choice_1&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_1&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02b_2_1-choice_1-label&#34; for=&#34;input_ls_ls02_ls02_02b_2_1_choice_1&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02b_2_1&#34;&gt; &lt;text&gt; Yes.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02b_2_1&#34; id=&#34;input_ls_ls02_ls02_02b_2_1_choice_2&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_2&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02b_2_1-choice_2-label&#34; for=&#34;input_ls_ls02_ls02_02b_2_1_choice_2&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02b_2_1&#34;&gt; &lt;text&gt; No.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;span id=&#34;answer_ls_ls02_ls02_02b_2_1&#34;/&gt; &lt;/fieldset&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_ls_ls02_ls02_02b_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ls_ls02_ls02_02b_solution_1&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ4-2: Free Body Diagram (Practice)&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_ls_ls02_ls02_02b&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_ls_ls02_ls02_02b&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. 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&lt;/p&gt; &lt;p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div class=&#34;choicegroup capa_inputtype&#34; id=&#34;inputtype_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;fieldset aria-describedby=&#34;status_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02c_2_1&#34; id=&#34;input_ls_ls02_ls02_02c_2_1_choice_1&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_1&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02c_2_1-choice_1-label&#34; for=&#34;input_ls_ls02_ls02_02c_2_1_choice_1&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;text&gt; Pulley 1.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02c_2_1&#34; id=&#34;input_ls_ls02_ls02_02c_2_1_choice_2&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_2&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02c_2_1-choice_2-label&#34; for=&#34;input_ls_ls02_ls02_02c_2_1_choice_2&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;text&gt; Pulley 2.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02c_2_1&#34; id=&#34;input_ls_ls02_ls02_02c_2_1_choice_3&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_3&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02c_2_1-choice_3-label&#34; for=&#34;input_ls_ls02_ls02_02c_2_1_choice_3&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;text&gt; Pulley 1 and pulley 2.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02c_2_1&#34; id=&#34;input_ls_ls02_ls02_02c_2_1_choice_4&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_4&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02c_2_1-choice_4-label&#34; for=&#34;input_ls_ls02_ls02_02c_2_1_choice_4&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;text&gt; The window washer and the platform&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_ls_ls02_ls02_02c_2_1&#34; id=&#34;input_ls_ls02_ls02_02c_2_1_choice_5&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_5&#34;/&gt;&lt;label id=&#34;ls_ls02_ls02_02c_2_1-choice_5-label&#34; for=&#34;input_ls_ls02_ls02_02c_2_1_choice_5&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_ls_ls02_ls02_02c_2_1&#34;&gt; &lt;text&gt; The window washer, the platform, rope A and pulley 1.&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;span id=&#34;answer_ls_ls02_ls02_02c_2_1&#34;/&gt; &lt;/fieldset&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_ls_ls02_ls02_02c_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ls_ls02_ls02_02c_solution_1&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ4-3: Choose a System (Practice)&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_ls_ls02_ls02_02c&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_ls_ls02_ls02_02c&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. 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data-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS03_1"> <div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS03_1" data-block-type="video" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="663f3f6484b411ef8f23023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Video"} </script> <h3 class="hd hd-2">W2PSv3-1: Window Washer Free Body Diagrams</h3> <div id="video_W02PS03_1" class="video closed" data-metadata='{&#34;end&#34;: 0.0, &#34;speed&#34;: null, &#34;transcriptAvailableTranslationsUrl&#34;: &#34;/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@video+block@W02PS03_1/handler/transcript/available_translations&#34;, &#34;saveStateUrl&#34;: 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Express your answer in terms of [mathjaxinline]a[/mathjaxinline], [mathjaxinline]m[/mathjaxinline] and [mathjaxinline]g[/mathjaxinline] as needed. &lt;/p&gt; &lt;p&gt; &lt;p style=&#34;display:inline&#34;&gt;[mathjaxinline]F_{wB} =[/mathjaxinline] &lt;/p&gt; &lt;div class=&#34;inline&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_ls_ls02_ls02_02d_2_1&#34; class=&#34;text-input-dynamath capa_inputtype inline textline&#34;&gt; &lt;div class=&#34;unanswered inline&#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_ls_ls02_ls02_02d_2_1&#34; id=&#34;input_ls_ls02_ls02_02d_2_1&#34; aria-describedby=&#34;trailing_text_ls_ls02_ls02_02d_2_1 status_ls_ls02_ls02_02d_2_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_ls_ls02_ls02_02d_2_1&#34;&gt;[mathjaxinline]\mathrm{N}[/mathjaxinline]&lt;/span&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_ls_ls02_ls02_02d_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_ls_ls02_ls02_02d_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_ls_ls02_ls02_02d_2_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_ls_ls02_ls02_02d_2_1_dynamath&#34; name=&#34;input_ls_ls02_ls02_02d_2_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ls_ls02_ls02_02d_solution_1&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(Part e)&lt;/b&gt; What is the magnitude of the force exerted &lt;b class=&#34;bfseries&#34;&gt;by&lt;/b&gt; rope &lt;b class=&#34;bfseries&#34;&gt;A&lt;/b&gt; on the &lt;b class=&#34;bfseries&#34;&gt;p&lt;/b&gt;latform, [mathjaxinline]F_{Ap}[/mathjaxinline]? Express your answer in terms of [mathjaxinline]a[/mathjaxinline], [mathjaxinline]m[/mathjaxinline] and [mathjaxinline]g[/mathjaxinline] as needed. &lt;p style=&#34;display:inline&#34;&gt;[mathjaxinline]F_{Ap} =[/mathjaxinline] &lt;/p&gt; &lt;div class=&#34;inline&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 2&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_ls_ls02_ls02_02d_3_1&#34; class=&#34;text-input-dynamath capa_inputtype inline textline&#34;&gt; &lt;div class=&#34;unanswered inline&#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_ls_ls02_ls02_02d_3_1&#34; id=&#34;input_ls_ls02_ls02_02d_3_1&#34; aria-describedby=&#34;trailing_text_ls_ls02_ls02_02d_3_1 status_ls_ls02_ls02_02d_3_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_ls_ls02_ls02_02d_3_1&#34;&gt;[mathjaxinline]\mathrm{N}[/mathjaxinline]&lt;/span&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_ls_ls02_ls02_02d_3_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_ls_ls02_ls02_02d_3_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_ls_ls02_ls02_02d_3_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_ls_ls02_ls02_02d_3_1_dynamath&#34; name=&#34;input_ls_ls02_ls02_02d_3_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_ls_ls02_ls02_02d_solution_2&#34;/&gt; &lt;/div&gt;&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;W2PSQ4-4: Calculate Forces (Practice)&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_ls_ls02_ls02_02d&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_ls_ls02_ls02_02d&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. 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