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- A uniform solid sphere is released from rest at the top of a 2.5 m long board that is inclined at 22° above the horizontal. The mass of the sphere is 25 kg and the radius is 12 cm, (a) what is the moment of inertia of the sphere? Then neglecting energy losses calculate the following values once the sphere has reached the bottom of the incline assuming that it rolls without slipping: (b) the translational speed of the center of mass, and (c) the angular speed of the sphere about its center of mass. Include a relevant diagram of the situation. [Diagram 2 pts.]

- A uniform solid sphere is released from rest at the top of a 2.5 m long board that is inclined at 22° above the horizontal. The mass of the sphere is 25 kg and the radius is 12 cm, (a) what is the moment of inertia of the sphere? Then neglecting energy losses calculate the following values once the sphere has reached the bottom of the incline assuming that it rolls without slipping: (b) the translational speed of the center of mass, and (c) the angular speed of the sphere about its center of mass. Include a relevant diagram of the situation. [Diagram 2 pts.]

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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- A uniform solid sphere is released from rest at the top of a 2.5 m long board that is inclined at 22° above the horizontal. The mass of the sphere is 25 kg and the radius is 12 cm, (a) what is the moment of inertia of the sphere? Then neglecting energy losses calculate the following values once the sphere has reached the bottom of the incline assuming that it rolls without slipping: (b) the translational speed of the center of mass, and (c) the angular speed of the sphere about its center of mass. Include a relevant diagram of the situation. [Diagram 2 pts.]
Transcribed Image Text:- A uniform solid sphere is released from rest at the top of a 2.5 m long board that is inclined at 22° above the horizontal. The mass of the sphere is 25 kg and the radius is 12 cm, (a) what is the moment of inertia of the sphere? Then neglecting energy losses calculate the following values once the sphere has reached the bottom of the incline assuming that it rolls without slipping: (b) the translational speed of the center of mass, and (c) the angular speed of the sphere about its center of mass. Include a relevant diagram of the situation. [Diagram 2 pts.]
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