The belt-driven pulley and attached disk are rotating with increasing angular velocity. At a certain instant the speed \(v\) of the belt is \(1.5 \mathrm{~m} / \mathrm{s}\), and the total acceleration of point \(A\) is \(75 \mathrm{~m} / \mathrm{s}^{2}\). For this instant determine (a) the angular acceleration \(\alpha\) of the pulley and disk, (b) the total acceleration of point \(B\), and \((c)\) the acceleration of point \(C\) on the belt.

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B 150 mm 0 150 mm