A solid sphere (radius = R) rolls without slipping in a cylindrical trough (radius = 5R) as

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A solid sphere (radius = R) rolls without slipping in a cylindrical trough (radius = 5R) as shown in Figure P15.56. Show that, for small displacements from equilibrium perpendicular to the length of the trough, the sphere executes simple harmonic motion with a period T = 2π√28R/5g.

A solid sphere (radius = R) rolls
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Engineering Mechanics Dynamics

ISBN: 9781118885840

8th Edition

Authors: James L. Meriam, L. G. Kraige, J. N. Bolton

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