You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 105 kg and whose radius is 0.60 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 t = 0, the cylinder's angular velocity is zero. at t = 25 s, its angular speed is 550 rev/min. (a) what is the magnitude of the cylinder's angular momentum at t = 25 s? kgm2/s (b) at what rate is the angular momentum kgm2/s2 (c) what is the magnitude of the torque acting on the cylinder? nm (d) what is the magnitude of the frictional force acting on the rim of the n