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

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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Question

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

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