A particle of mass m at the end of a light string is wrapped around a cylinder of radius a that is at rest on its axis (see figure). All motion in this system is in a horizontal plane (ignoring gravity). The angular velocity of the string is w_0 when the distance from the particle to the point of contact of the cylinder with the string is equal to b. Calculate the angular velocity and tension of the rope after the rope has traveled an angle. Motion m t= 0

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....
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A particle of mass m at the end of a light string is wrapped around a cylinder of radius a that is at rest on
its axis (see figure). All motion in this system is in a horizontal plane (ignoring gravity). The angular
velocity of the string is w_0 when the distance from the particle to the point of contact of the cylinder
with the string is equal to b. Calculate the angular velocity and tension of the rope after the rope has
traveled an angle .
t>0
Motion
m
t= 0
Transcribed Image Text:A particle of mass m at the end of a light string is wrapped around a cylinder of radius a that is at rest on its axis (see figure). All motion in this system is in a horizontal plane (ignoring gravity). The angular velocity of the string is w_0 when the distance from the particle to the point of contact of the cylinder with the string is equal to b. Calculate the angular velocity and tension of the rope after the rope has traveled an angle . t>0 Motion m t= 0
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