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A uniform solid sphere with a mass M = 2.0 kg and a radius R =...

A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of kinetic energy lost by the sphere between t = 0 and t = T. (c) Show that the result in (b) equals the work done against the frictional force that acts to cause the sphere to roll without slipping.

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final w = 2/7 w0 = 20 rad/sec

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