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Two fly wheels and are mounted side by side with frictionless bearings on a common shaft. Their moments of inertia about the shaft are and respectively. Wheel is made to rotate at revolution per second. Wheel B, initially stationary, is now coupled to with the help of a clutch. The rotation speed of the wheels will become
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When wheel B, initially stationary is coupled to A with the help of a clutch, both will have a common angular velocity and let that be .
Since there is no external torque, angular momentum will be conserved.
From conservation of angular momentum,
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