A cord is wrapped around the rim of a solid cylinder of radius 0.25 m, and a constant force of 40 N is exerted on the cord shown, as shown in the following figure. The cylinder is mounted on frictionless bearings, and its moment of inertia is 6.0 kg ⋅ m2 . (a) Use the work energy theorem to calculate the angular velocity of the cylinder after 5.0 m of cord have been removed. (b) If the 40-N force is replaced by a 40-N weight, what is the angular velocity of the cylinder after 5.0 m of cord have unwound?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A cord is wrapped around the rim of a solid
cylinder of radius 0.25 m, and a constant
force of 40 N is exerted on the cord shown,
as shown in the following figure. The
cylinder is mounted on frictionless
bearings, and its moment of inertia is
6.0 kg ⋅ m2
. (a) Use the work energy
theorem to calculate the angular velocity of
the cylinder after 5.0 m of cord have been
removed. (b) If the 40-N force is replaced
by a 40-N weight, what is the angular
velocity of the cylinder after 5.0 m of cord
have unwound? 

 

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