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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

University Physics Volume 1
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 8CQ: A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can...
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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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