Question: A solid sphere (radius = R) rolls without slipping in a cylindrical trough (radius = 5R) as shown in Figure P15.56. Show that, for small

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.

Figure P15.56

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