The pinion \(A\) of the hoist motor drives gear \(B\), which is attached to the hoisting drum. The load \(L\) is lifted from its rest position and acquires an upward velocity of \(3 \mathrm{ft} / \mathrm{sec}\) in a vertical rise of \(4 \mathrm{ft}\) with constant acceleration. As the load passes this position, compute (a) the acceleration of point \(C\) on the cable in contact with the drum and \((b)\) the angular velocity and angular acceleration of the pinion \(A\).

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12" 36" 48"- L 3 ft/sec. 4'