) A uniform, solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. The string doesn't slip over the pulley surface, and the cylinder rolls without slipping on the tabletop. Find the magnitude of the acceleration of the block after the system is released from rest. (g/3)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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)A uniform, solid cylinder with mass M and radius 2R rests on a horizontal
tabletop. A string is attached by a yoke to a frictionless axle through the center of
the cylinder so that the cylinder can rotate about the axle. The string runs over a
disk shaped pulley with mass M and radius R that is mounted on a frictionless
axle through its center. A block of mass M is suspended from the free end of the
string. The string doesn't slip over the pulley surface, and the cylinder rolls without slipping on the
tabletop. Find the magnitude of the acceleration of the block after the system is released from rest. (g/3)
Transcribed Image Text:)A uniform, solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string. The string doesn't slip over the pulley surface, and the cylinder rolls without slipping on the tabletop. Find the magnitude of the acceleration of the block after the system is released from rest. (g/3)
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