A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. Using kinematics, calculate: A) the tension in the string as the disk unwinds and falls, B) the acceleration of the center of mass of the disk, C) the speed of the disk after falling a distance H. D) Verify your answer to C) by using the energy method.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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Problem 78P: Review. A string is wound around a uniform disk of radius R and mass M. The disk is released from...
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5. A string is wound around a uniform disk of radius R and mass M. The disk is
released from rest with the string vertical and its top end tied to a fixed bar. Using
kinematics, calculate:
A) the tension in the string as the disk unwinds and falls,
B) the acceleration of the center of mass of the disk,
C) the speed of the disk after falling a distance H.
D) Verify your answer to C) by using the energy method.
Transcribed Image Text:5. A string is wound around a uniform disk of radius R and mass M. The disk is released from rest with the string vertical and its top end tied to a fixed bar. Using kinematics, calculate: A) the tension in the string as the disk unwinds and falls, B) the acceleration of the center of mass of the disk, C) the speed of the disk after falling a distance H. D) Verify your answer to C) by using the energy method.
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