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A uniform solid sphere of mass \( M=1 \mathrm{~kg} \) and
\( \mathrm{P} \) radius \( R=50 \mathrm{~cm} \) is projected with velocity
W \( v_{0}=1 \mathrm{~m} / \mathrm{s} \) and simultaneously given a reverse spin \( \omega_{0} \) as shown in figure. The horizontal
- surface is rough. What is initial angular velocity \( \omega_{0} \) for which rotation and translation stops simultaneously in subsequent motion.
(1) \( 1 \mathrm{rad} / \mathrm{s} \)
(2) \( 2 \mathrm{rad} / \mathrm{s} \)
(3) \( 4 \mathrm{rad} / \mathrm{s} \)
(4) \( 5 \mathrm{rad} / \mathrm{s} \)
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