A cylinder is rolling without sliding over two horizontal planks (surfaces) 1 and 2 . If the vel...

A cylinder is rolling without sliding over two horizontal planks (surfaces) 1 and 2 . If the velocities of the surfaces \( A \)
\( \mathrm{P} \) and \( B \) are \( -v \hat{i} \) and \( 2 v \hat{i} \) respectively, find the

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(1) The instantaneous axis of rotation is located at a distance of \( 4 R / 3 \) below the top of the disc
(2) The instantaneous axis of rotation is located at a distance of \( 3 R / 2 \) below the top of the disc
(3) Angular velocity of the cylinder is \( \frac{3 v}{2 R} \)
(4) Angular velocity of the cylinder is \( \frac{5 v}{3 R} \)