A round disc of moment of inertia \( \mathrm{I}_{2} \) about its axis perpendicular to its plane...

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A round disc of moment of inertia \( \mathrm{I}_{2} \) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia \( \mathrm{I}_{1} \) rotating with an angular velocity \( \omega \) about the same axis. The final angular velocity of the combination of discs is
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