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AP®PhysicsCollege BoardPhysics 1: Algebra-BasedExam QuestionsUnit 6: Energy & Momentum of Rotating SystemsAngular Momentum & Angular Impulse

Angular Momentum & Angular Impulse (College Board AP® Physics 1: Algebra-Based): Exam Questions

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Angular Momentum & Angular Impulse

1
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A solid sphere on a surface with marked points A to F. The sphere is at point A next to a plunger. The surface is shaded between points C and D to represent a region where friction acts.

Figure 1

A uniform solid sphere is placed at point A, as shown in Figure 1. The surface is frictionless except for the region between points C and D, where the surface is rough. The sphere is pushed by the plunger from point A to point B with a constant horizontal force that is directed toward the sphere’s center of mass. The sphere loses contact with the plunger at point B and continues moving across the horizontal surface toward point E.

In which interval(s), if any, does the sphere’s angular momentum about its center of mass change? Justify your reasoning.

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2
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A circular disc with a vertical rod through its center.

Figure 1

The disk shown in Figure 1 spins about an axle at its center. During an experiment, a student discovers that, while the disk is spinning, the axle exerts a constant frictional torque tau subscript 0 on the disk. At time t space equals space 0 the disk has an initial counterclockwise (positive) angular velocity omega subscript 0. The disk later comes to rest at time t space equals space t subscript 1.

Starting with the equation for angular momentum, derive an equation for the rotational inertia I of the disk in terms of tau subscript 0, omega subscript 0, t subscript 1, and physical constants, as appropriate. Begin your derivation by writing a fundamental physics principle or an equation from the reference information.

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