A bucket of mass m is tied to a massless cable that is wrapped around the outer rim of a uniform pulley of radius R, on a frictionless axle, as shown in (Figure 1). Part A In terms of the stated variables, what must be the moment of inertia of the pulley so that it always has half as much kinetic energy as the bucket? Express your answer in terms of the variables m and R.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 112AP: A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with...
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A bucket of mass m is tied to a massless cable that is
wrapped around the outer rim of a uniform pulley of radius R,
on a frictionless axle, as shown in (Figure 1).
Part A
In terms of the stated variables, what must be the moment of inertia of the pulley so that it always has half as much kinetic energy as the bucket?
Express your answer in terms of the variables m and R.
I =
Figure
1 of 1
m
Transcribed Image Text:A bucket of mass m is tied to a massless cable that is wrapped around the outer rim of a uniform pulley of radius R, on a frictionless axle, as shown in (Figure 1). Part A In terms of the stated variables, what must be the moment of inertia of the pulley so that it always has half as much kinetic energy as the bucket? Express your answer in terms of the variables m and R. I = Figure 1 of 1 m
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