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The two uniform discs rotate separately ...

The two uniform discs rotate separately on parallel axles. The upper disc (radius `a` and momentum of inertia `I_1`) is given an angular velocity `omega_0` and the lower disc of (radius `b` and momentum of inertia `I_2`) is at rest. Now the two discs are moved together so that their rims touch. Final angular velocity of the upper disc is.
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