A spool of thread consists of a cylinder of radius R, with end caps of radius R, as depicted in the end view shown in Figure P10.45. The mass of the spool, including the thread, is m, its moment of inertia about an axis through its center is I. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force T acting to the right is applied to the free end of the thread. (a) Show that the magnitude of the friction force exerted by the surface on the spool is given by and (I+ mR,Rq T I+ mR,2 f = (b) Determine the direction of the force of friction. \R2 R1 Figure P10.45

A spool of thread consists of a cylinder of radius R, with end caps of radius R, as depicted in the end view shown in Figure P10.45. The mass of the spool, including the thread, is m, its moment of inertia about an axis through its center is I. The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force T acting to the right is applied to the free end of the thread. (a) Show that the magnitude of the friction force exerted by the surface on the spool is given by and (I+ mR,Rq T I+ mR,2 f = (b) Determine the direction of the force of friction. \R2 R1 Figure P10.45

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotation Of A Rigid Object About A Fixed Axis

Section: Chapter Questions

Problem 45CP: A spool of thread consists of a cylinder of radius R1 with end caps of radius R2 as depicted in the...

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