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Q4. A stationary flywheel of mass 300 kg has a constant torque of 1 kNm applied to it for a period of 30 seconds after which it freewheels to rest in a period of 15 minutes. The maximum speed attained by the flywheel is 40 rad/second.

Calculate EACH of the following:

(a) the radius of gyration of the flywheel about its axis. (14)

(b) the frictional torque in the bearings assuming this to be constant. (2)