from rest. 1 Find the angular acceleration of the coil. 2Find the tension in the rope.

Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter8: Computer Numerical Control
Section8.4: Cnc Turning: Setup And Operation
Problem 2RQ: MDI stands for _________ ___________ ________.
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A coil of mass M = 3m is wound by a
weightless rope and is at rest on a horizontal
rough surface. The moment of inertia with
respect to the axis passing through its center of
mass, where R is the outer radius of the coil, is
given as I = MR². The radius of the wrapped
rope layer is equal to r/2, and the other end of
the rope is fixed vertically to a block of mass m
as shown in the figure. The system is released
from rest.
1 Find the angular acceleration of the coil.
2Find the tension in the rope.
3What is the angular velocity of the coil after
the mass has decreased by h = 4R?
Transcribed Image Text:A coil of mass M = 3m is wound by a weightless rope and is at rest on a horizontal rough surface. The moment of inertia with respect to the axis passing through its center of mass, where R is the outer radius of the coil, is given as I = MR². The radius of the wrapped rope layer is equal to r/2, and the other end of the rope is fixed vertically to a block of mass m as shown in the figure. The system is released from rest. 1 Find the angular acceleration of the coil. 2Find the tension in the rope. 3What is the angular velocity of the coil after the mass has decreased by h = 4R?
R
M = 3m
R/2
m
Transcribed Image Text:R M = 3m R/2 m
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