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A uniform, hollow, cylindri- cal spool has inside radius R/2, outside radius R, and mass M (Fig. P10.47). It is M mounted so that it rotates on a fixed, horizontal axle. A coun- terweight of mass m is con- nected to the end of a string wound around the spool. The counterweight falls from rest at t = 0 to a position y at time t. Show that the torque due to the friction forces between R/2 m R/2 Figure P10.47 spool and axle is 2y 5y = R m g - M

A uniform, hollow, cylindri- cal spool has inside radius R/2, outside radius R, and mass M (Fig. P10.47). It is M mounted so that it rotates on a fixed, horizontal axle. A coun- terweight of mass m is con- nected to the end of a string wound around the spool. The counterweight falls from rest at t = 0 to a position y at time t. Show that the torque due to the friction forces between R/2 m R/2 Figure P10.47 spool and axle is 2y 5y = R m g - M

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A uniform, hollow, cylindri- cal spool has inside radius R/2, outside radius R, and mass M (Fig. P10.47). It is M mounted so that it rotates on a fixed, horizontal axle. A coun- terweight of mass m is con- nected to the end of a string wound around the spool. The counterweight falls from rest at t = 0 to a position y at time t. Show that the torque due to the friction forces between R/2 m R/2 Figure P10.47 spool and axle is 2y 5y = R m g - M
Transcribed Image Text:A uniform, hollow, cylindri- cal spool has inside radius R/2, outside radius R, and mass M (Fig. P10.47). It is M mounted so that it rotates on a fixed, horizontal axle. A coun- terweight of mass m is con- nected to the end of a string wound around the spool. The counterweight falls from rest at t = 0 to a position y at time t. Show that the torque due to the friction forces between R/2 m R/2 Figure P10.47 spool and axle is 2y 5y = R m g - M
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