You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 90 kilogram and whose radius is 0.40 meter that is mounted therefore 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 speed is 500 rev/min.
(a) Find the magnitude of the cylinder's angular momentum at t=25 sec?
(b) Find at what rate is the angular momentum increasing?
(c) Evaluate the magnitude of the torque acting on the cylinder?
(d) Find the magnitude of the frictional force acting on the rim of the cylinder?