Question: A uniform solid cylinder of mass m and radius R is set in rotation about its axis with an angular velocity o, then lowered with

A uniform solid cylinder of mass m and radius R is set in rotation about its axis with an angular velocity ωo, then lowered with its lateral surface onto a horizontal plane and released. The coefficient of friction between the cylinder and the plane is equal to k. Find:
(a) How long the cylinder will move with sliding;
(b) The total work performed by the sliding friction force acting on the cylinder.

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