A solid sphere of radius R rolls without slipping in a trough of radius 5R as shown to the right. Answer the following questions: 5R, a. At what point(s) in the sphere's motion does it have zero R centripetal acceleration? What is the direction of the acceleration vector at this point? b. At what point(s) in the sphere's motion does it have zero tangential acceleration? What is the direction of the acceleration at this point? c. Explain why the period of the oscillation for the solid sphere is independent of the mass of the solid sphere.

A solid sphere of radius R rolls without slipping in a trough of radius 5R as shown to the right. Answer the following questions: 5R, a. At what point(s) in the sphere's motion does it have zero R centripetal acceleration? What is the direction of the acceleration vector at this point? b. At what point(s) in the sphere's motion does it have zero tangential acceleration? What is the direction of the acceleration at this point? c. Explain why the period of the oscillation for the solid sphere is independent of the mass of the solid sphere.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 42P: A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular...

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