A 200-kg flywheel is at rest when a constant 300 N · m couple M is applied at time t = 0....

A 200-kg flywheel is at rest when a constant 300 N · m couple M is applied at time t = 0. At t = 28 s the flywheel reaches its rated speed of 2400 rpm and the couple is removed. Knowing that the radius of gyration of the flywheel is 400 mm, determine (a) the average magnitude of the couple due to kinetic friction in the bearing, (b) the time at which the flywheel comes to rest.