A 21 g ball with a radius of 30 mm rolls back and forth in a hemispherical bowl of radius 6 cm. Hint: This problem requires connecting the orbital angular momentum (from the "swing") to the spin angular momentum (from the rolling ball) through the instantaneous speed of the object. (a) What is the period of the oscillation if the ball is solid? 0.4109 s x (b) What is the period of the oscillation if the ball is hollow? 0.4483 s X (c) What is the percent difference between the two? 8.34% X

A 21 g ball with a radius of 30 mm rolls back and forth in a hemispherical bowl of radius 6 cm. Hint: This problem requires connecting the orbital angular momentum (from the "swing") to the spin angular momentum (from the rolling ball) through the instantaneous speed of the object. (a) What is the period of the oscillation if the ball is solid? 0.4109 s x (b) What is the period of the oscillation if the ball is hollow? 0.4483 s X (c) What is the percent difference between the two? 8.34% X

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 81PQ

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