The crane shown in the figure is lifting a 175-kg crate upward with an acceleration of...

The crane shown in the figure is lifting a 175-kg crate upward with an acceleration of 1.36 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 180 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 158 kg, and its radius (the same as that of the pulley) is 0.178 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.

Expert Solution

We can solve the required torque magnitude by taking free body diagram of each mass, pully and drum.

The newton equation of motion are used.

genius_generous answered 2 years ago

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