A uniform circular disc of radius \( r \) is placed on a rough horizontal surface and given a li...

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A uniform circular disc of radius \( r \) is placed on a rough horizontal surface and given a linear velocity \( v_{0} \) and angular
\( \mathrm{P} \) velocity \( \omega_{0} \) as shown. The disc comes to rest after moving

W some distance to the right. It follows that
(1) \( 3 v_{0}=2 \omega_{0} r \)
(2) \( 2 v_{0}=\omega_{0} r \)
(3) \( v_{0}=\omega_{0} r \)
(4) \( 2 v_{0}=3 \omega_{0} r \)
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