[Optional] Challenge: 83. 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 mass M and radius R that is mounted on a frictionless axle through its center. A block of mass Mis 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.
[Optional] Challenge: 83. 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 mass M and radius R that is mounted on a frictionless axle through its center. A block of mass Mis 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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please draw all free body diagrams, label all equations used and if there is an inertia equation, please solve for it, thanks!
![[Optional] Challenge:
83. 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 mass M and radius R that is mounted on a frictionless axle through its
center. A block of mass Mis 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.
M](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d9ecf2-8ea2-4c7b-b874-691941710284%2Fc68ba148-bda2-4e7e-963e-15df6190cb03%2F49u5pq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[Optional] Challenge:
83. 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 mass M and radius R that is mounted on a frictionless axle through its
center. A block of mass Mis 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.
M
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