The sheave \(E\) of the hoisting rig shown has a mass of \(30 \mathrm{~kg}\) and a centroidal radius of gyration of \(250 \mathrm{~mm}\). The \(40-\mathrm{kg}\) load \(D\) which is carried by the sheave has an initial downward velocity \(v_{1}=1.2 \mathrm{~m} / \mathrm{s}\) at the instant when a clockwise torque is applied to the hoisting drum \(A\) to maintain essentially a constant force \(F=380 \mathrm{~N}\) in the cable at \(B\). Compute the angular velocity \(\omega_{2}\) of the sheave 5 seconds after the torque is applied to the drum and find the tension \(T\) in the cable at \(O\) during the interval. Neglect all friction.

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E B' A 375 mm D V = 1.2 m/s