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A uniform solid cylinder of mass m and r...

A uniform solid cylinder of mass `m` and radius `R` is set in rotation about its axis with an angular velocity `omega_(0)`, 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 `mu`. 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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