A uniform disc and a solid sphere both of mass \( m \) and radius \( R \) are projected horizont....

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A uniform disc and a solid sphere both of mass \( m \) and radius \( R \) are projected horizontally with velocity \( V_{0} \)
\( \mathrm{P} \)
on a rough horizontal floor so that both start with purely sliding motion at \( t=0 \). After some time, they acquire purely rolling motion.

Ratio of velocity of disc to solid sphere, when they acquire purely rolling state, is
(1) \( \frac{14}{15} \)
(2) \( \frac{10}{21} \)
(3) \( \frac{2}{3} \)
(4) \( \frac{5}{7} \)


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