5. A uniform solid cylinder with M 2R mass M and radius 2R rests on a M 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 M 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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.80P
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5. A uniform solid cylinder with
M
2R
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
M
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.
Transcribed Image Text:5. A uniform solid cylinder with M 2R 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 M 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.
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