A solid cylinder with radius 0.160 mm is mounted on a frictionless, stationary axle that lies along the cylinder axis. The cylinder is initially at rest. Then starting at tt = 0 a constant horizontal force of 5.00 NN is applied tangentially to the surface of the cylinder. You measure the angular displacement θ−θ0θ−θ0 of the cylinder as a function of the time tt since the force was first applied. When you plot θ−θ0θ−θ0 (in radians) as a function of t2t2 (in s2s2), your data lie close to a straight line.   If the slope of this line is 16.0 rad/s2rad/s2, what is the moment of inertia of the cylinder for rotation about the axle? Why is the acceleration 32 rad/s^2 in this case?

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 89AP: A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis...
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A solid cylinder with radius 0.160 mm is mounted on a frictionless, stationary axle that lies along the cylinder axis. The cylinder is initially at rest. Then starting at tt = 0 a constant horizontal force of 5.00 NN is applied tangentially to the surface of the cylinder. You measure the angular displacement θ−θ0θ−θ0 of the cylinder as a function of the time tt since the force was first applied. When you plot θ−θ0θ−θ0 (in radians) as a function of t2t2 (in s2s2), your data lie close to a straight line.

 

If the slope of this line is 16.0 rad/s2rad/s2, what is the moment of inertia of the cylinder for rotation about the axle?

Why is the acceleration 32 rad/s^2 in this case?

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