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A disc of moment of inertia 3.00 kgm2 is rotating with angular velocity 2.00 rad/s about...

A disc of moment of inertia 3.00 kgm2 is rotating with angular velocity 2.00 rad/s about an axis perpendicular to its plane and passing through its centre. Another disk (which is not rotating) of moment of inertia 5.00 kgm2 is gently placed over it. Finally, the two discs rotate with the same angular velocity around the common rotational axis. The new angular velocity of the combined disc (in rad/s) is ?

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