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A cylinder A rolls without slipping on a plank $B$. The velocities of center of the cylinder and that of the plank are $4 \mathrm{~m} / \mathrm{s}$ and $2 \mathrm{~m} / \mathrm{s}$ respectively in same direction, with respect to the ground. Find the angular velocity of the cylinder (in rad/s) if its radius is $1 \mathrm{~m}$.
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The correct answer is:
$2 \mathrm{rad} / \mathrm{sec}$
For rolling, $v_A=2 m / s$ 
or $4-1 . \omega=2$ or $\omega=2 \mathrm{rad} / \mathrm{sec}$ (clockwise)
or $4-1 . \omega=2$ or $\omega=2 \mathrm{rad} / \mathrm{sec}$ (clockwise)
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