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Two discs of radii R and 2R are pressed ...

Two discs of radii `R and 2R` are pressed against eachother. Initially, disc wit radius `R` is rotating with angular velocity `omega` and other disc is stationary. Both discs are hinged at their respective centres and are free to rotate about them. Moment of inertiaof smaller disc is `I` and of bigger disc is `2I` about their respective axis of rotation. Find the angular velocity of bigger disc after long time.

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