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Question: you are designing a lathe motor part of which consists...

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You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 130 kg and whose radius is 0.80 m that is mounted so that it turns without friction on its axis, which is fixed. The cylinder is driven by a belt that wraps around its perimeter and exerts a constant torque. At 0, the cylinders angular velocity is zero. At 25 s, its angular speed is 400 rev/min. (a) What is the magnitude of the cylinders angular momentum at t 25 s? kg-m2/s (b) At what rate is the angular momentum increasing? kg m2/s (c) What is the magnitude of the torque acting on the cylinder? N m (d) What is the magnitude of the frictional force acting on the rim of the cylinder?

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