A uniform cylinder of mass 90 kg and radius 0.4 m is mounted so that it turns

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A uniform cylinder of mass 90 kg and radius 0.4 m is mounted so that it turns without friction on its fixed symmetry axis. It is rotated by a drive belt that wraps around its perimeter and exerts a constant torque. At time t = 0, its angular velocity is zero. At time t = 25 s, its angular velocity is 500 rev/min.

(a) What is its angular momentum at t = 25 s?

(b) At what rate is the angular momentum increasing?

(c) What is the torque acting on the cylinder?

(d) What is the magnitude of the force acting on the rim of the cylinder?

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