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<h2 class="hd hd-2 unit-title">Intro to Newton's 2nd Law and Circular Motion</h2>
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<p> As you go through the lesson, you will find this list of reading from the textbook complementary to the videos and exercises, and on many occasions these readings will contain relevant material to the presentation:</p><ul><li> Universal Law of Gravitation: <a href="/courses/course-v1:MITx+8.01.1x+3T2018/pdfbook/0/chapter/9/3"><i class="it">chapter 9, section 2</i></a></li><li> Worked Examples Circular Motion: <a href="/courses/course-v1:MITx+8.01.1x+3T2018/pdfbook/0/chapter/9/7"><i class="it">chapter 9, section 3</i></a></li></ul>
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<h2 class="hd hd-2 unit-title">L11v01: Newton's 2nd Law and Circular Motion</h2>
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<h3 class="hd hd-2">L11v1: Newton's 2nd Law and Circular Motion</h3>
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<h2 class="hd hd-2 unit-title">L11Q1: Total Force</h2>
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L11Q1: Total force
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<p>
In a physics lab, you place a block on the top of a low-friction ramp. The block slides down the ramp, around a circular part at the bottom, up a ramp on the other side, and then flies off the end. At what point (if any) is the total force on the block zero? </p>
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<h2 class="hd hd-2 unit-title">L11Q2: Conical Pendulum</h2>
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Conical Pendulum
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<p>A pendulum bob of mass \(m\) is set in circular motion as shown in the figure at right. </p>
<p>Draw a free-body diagram for the mass \(m\) at the instant depicted. <em>Please draw force vectors with their tails at \(m\).</em></p>
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<h2 class="hd hd-2 unit-title">L11WE1/L11v2: Worked Example - Car on a Banked Turn</h2>
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L11WE1: Banked Curve without Friction (Worked Example)
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A car of mass [mathjaxinline]m[/mathjaxinline] is turning on a banked curve of angle [mathjaxinline]\phi[/mathjaxinline] with respect to the horizontal. The curve is icy and friction between the tires and the surface is negligible. The curve has a radius [mathjaxinline]r[/mathjaxinline]. What is the speed [mathjaxinline]v[/mathjaxinline] at which the car can turn safely? Express your answer in terms of [mathjaxinline]g[/mathjaxinline], [mathjaxinline]r[/mathjaxinline], and phi for [mathjaxinline]\phi[/mathjaxinline]. </p>
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<p style="display:inline">[mathjaxinline]v=[/mathjaxinline] </p>
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<h3 class="hd hd-2">L11v2: Worked Example - Car on a Banked Turn</h3>
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<h2 class="hd hd-2 unit-title">L11Q3: Moving on a Circle</h2>
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L11Q3: Moving on a circle
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<div><title> L11Q3: Moving on a circle </title><p>
An object of mass \(m =\) 10 kg is moving at a constant speed in a circle of radius \(R = \) 3 m.
The period, the time it takes to complete one revolution, is \(T =\) 12 s. Enter your answer to
3 significant figures.
</p><p><b>(Part 1)</b>
Find \(v\), the speed of the object, in units of m/s.
</p>
\(v=\)
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<p><b>(Part 2)</b>
Find \(a\), the magnitude of the acceleration of the object, in units of m/s\(^2\).
</p>
\(a=\)
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<p><b>(Part 3)</b>
Find \(F_{total}\), the magnitude of the total force acting on the object, in units of N.
</p>
\(F_{total}=\)
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In this demo, a bucket full of ping pong balls is rotated vertically fast enough so that the balls stay in the bucket. Slowing down below a certain speed, or simply holding the bucket upside down will cause the balls to fall. This can be explained using Newton's second law and the physics of circular motion.
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<h3 class="hd hd-2">Demo: Rotating Bucket</h3>
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