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 a torque T. A 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. (a) Use the integration method to find the moment of inertia of the spool as a function of M and R. R/2 R/2 mg-t; 8m+5 M (b) Show that y=4t

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 a torque T. A 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. (a) Use the integration method to find the moment of inertia of the spool as a function of M and R. R/2 R/2 mg-t; 8m+5 M (b) Show that y=4t

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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