8. A large cylinder is connected to a cylindrical pulley and a hanging block by a frictionless string as shown in the figure. The masses of the cylinder, pulley and block are identical and equal to M. The radius of the cylinder is exactly twice the radius of the pulley. The cylinder is allowed to roll without slipping, and there is also no slipping between the pulley and the string. (Hint: The moment of inertia of a cylinder of mass M and radius R rotating Cylinder 2R Pulley 글MR2) M about its center is: I = OM M 8a) When the system is released from rest, what is the speed of the block after it has dropped a height h?

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
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8b)
What is the acceleration of the block after being released from rest?
Transcribed Image Text:8b) What is the acceleration of the block after being released from rest?
8. A large cylinder is connected to a cylindrical pulley and a hanging block by a frictionless string as
shown in the figure. The masses of the cylinder, pulley and block are identical and equal to M. The
radius of the cylinder is exactly twice the radius of the pulley. The cylinder is allowed to roll without
slipping, and there is also no slipping between the pulley and the string.
(Hint: The moment of inertia of a cylinder of mass M and radius R rotating Cylinder 2R
about its center is: 1 =MR² )
Pulley
R
OM
2
M
8a)
of the block after it has dropped a height h?
When the system is released from rest, what is the speed
Transcribed Image Text:8. A large cylinder is connected to a cylindrical pulley and a hanging block by a frictionless string as shown in the figure. The masses of the cylinder, pulley and block are identical and equal to M. The radius of the cylinder is exactly twice the radius of the pulley. The cylinder is allowed to roll without slipping, and there is also no slipping between the pulley and the string. (Hint: The moment of inertia of a cylinder of mass M and radius R rotating Cylinder 2R about its center is: 1 =MR² ) Pulley R OM 2 M 8a) of the block after it has dropped a height h? When the system is released from rest, what is the speed
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