A hoop of radius \( r \) and mass \( m \) rotating with an angular velocity \( \omega_{0} \) is ...

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A hoop of radius \( r \) and mass \( m \) rotating with an angular velocity \( \omega_{0} \) is placed on a rough horizontal surface. The initial
\( \mathrm{P} \) velocity of the centre of the hoop is zero. What will be the

W velocity of the centre of the hoop when it ceases to slip?
(1) \( \frac{r \omega_{0}}{3} \)
(2) \( \frac{r \omega_{0}}{2} \)
(3) \( r \omega_{0} \)
(4) \( \frac{r \omega_{0}}{4} \)
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