The crane shown in the drawling is lifting a 172-kg crate upward with an acceler

Question

The crane shown in the drawling is lifting a 172-kg crate upward with an acceleration of 1.4 m/s2. The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 130 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 150 kg, and its radius is 0.76 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.

Explanation / Answer

weight of crate equals the tension on the pulley which equals the force acting on the drum. torque = force*lever arm. lever arm is diameter of drum.

1800.236 N.m

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