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Q5. A flywheel of mass 100 kg with radius of gyration 500 mm rotates at a speed 200 rpm. A second flywheel of mass 75 kg with radius of gyration 400 mm rotates at 275 rpm in the same direction as shown in Fig Q5. The flywheels are coupled by an engaging clutch.

Calculate EACH of the following:

(a) the speed of the coupled flywheels in rpm; (8)

(b) the energy lost during coupling;(6)

(c) the angular impulse generated in the 75 kg flywheel due to coupling. (2)