A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.75 kgkg having inner and outer radii as shown in the figure (Figure 1). The cylinder is then released from rest. a.) How far must the cylinder fall before its center is moving at 6.78 m/sm/s? Express your answer in meters. b.) If you just dropped this cylinder without any string, how fast would its center be moving when it had fallen the distance in part A? Express your answer in meters per second.

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section: Chapter Questions
Problem 92A
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A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.75 kgkg having inner and outer radii as shown in the figure (Figure 1). The cylinder is then released from rest.

a.)

How far must the cylinder fall before its center is moving at 6.78 m/sm/s?
Express your answer in meters.
b.)
If you just dropped this cylinder without any string, how fast would its center be moving when it had fallen the distance in part A?
Express your answer in meters per second.
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