A disc is freely rotating with an angular speed \( \omega \) on a smooth horizontal plane. If it...

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A disc is freely rotating with an angular speed \( \omega \) on a smooth horizontal plane. If it is hooked at a rigid page \( P \) and
\( \mathrm{P} \) rotates without bouncing about a point on its circumference.

W Its angular speed after the impact will be equal to
(1) \( \frac{2 \omega}{3} \)
(2) \( \frac{\omega}{3} \)
(3) \( \frac{\omega}{2} \)
(4) none of these
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