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Statement of a problem № 262

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A uniform solid cylinder of mass m and radius R is set in rotation about its axis with an angular velocity ω0, 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.

Solution:
A uniform solid cylinder of mass m and radius R is set in rotation about its axi

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