Question: A solid cylinder of mass M resting on its side on a horizontal surface is given a sharp blow by a cue stick. The applied

A solid cylinder of mass M resting on its side on a horizontal surface is given a sharp blow by a cue stick. The applied force is horizontal and passes through the center of the cylinder so that the cylinder begins translating with initial velocity v0. The coefficient of sliding friction between the cylinder and surface is μk.

(a) What is the translational velocity of the cylinder when it is rolling without slipping?

(b) How far does the cylinder travel before it rolls without slipping?

(c) What fraction of its initial mechanical energy is dissipated in friction?

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