(Solved): The crane shown in the figure is lifting a \( 376-\mathrm{kg} c r a t e \) upward with an accelerat ...

The crane shown in the figure is lifting a \( 376-\mathrm{kg} c r a t e \) upward with an acceleration of \( 3.21 \mathrm{~m} / \mathrm{s}^{2} \). The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of \( 236 \mathrm{~kg} \). The cable is then wound onto a hollow cylindrical drum that is mounted on the deck of the crane. The mass of the drum is \( 206 \mathrm{~kg} \), and its radius (the same as that of the pulley) is \( 0.336 \mathrm{~m} \). The engine applies a counterclockwise torque to the drum in order to wind up the cable. What is the magnitude of this torque? Ignore the mass of the cable.