Problem 1. A uniform, hollow, cylindrical spool has inside radius R/2, outside radius R, and mass M. It is mounted so that it rotates on a fixed, horizontal axle. The friction force between the axle and M the spool causes counterweight of mass m is connected to the end of a string wound around the spool. The counterweight falls initially from rest to a position y at time t. an average torque Tf. A R/2 т (a) Use the integration method to find the moment of inertia of the spool as a function of M and R. R/2 mg- T (b) Show that y=4t? 8 т+5 М

Problem 1. A uniform, hollow, cylindrical spool has inside radius R/2, outside radius R, and mass M. It is mounted so that it rotates on a fixed, horizontal axle. The friction force between the axle and M the spool causes counterweight of mass m is connected to the end of a string wound around the spool. The counterweight falls initially from rest to a position y at time t. an average torque Tf. A R/2 т (a) Use the integration method to find the moment of inertia of the spool as a function of M and R. R/2 mg- T (b) Show that y=4t? 8 т+5 М

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 90P: A uniform cylindrical grinding wheel of mass 50.0 kg and diameter 1.0 m is turned on by an electric...

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