See Multiple-Concept Example 12 to review some of the concepts that come into pl

Question

See Multiple-Concept Example 12 to review some of the concepts that come into play here.The crane shown in the drawing is lifting a 180-Kg crate up-ward with an acceleration of 1.2 m/s2.The cable from the crate passes over a solid cylindrical pully at the top of the boom. The pulley has a mass of 130 Kg. The cable is then wound onto a hollow cylindrical 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. See Multiple-Concept Example 12 to review some of the concepts that come into play here.The crane shown in the drawing is lifting a 180-Kg crate up-ward with an acceleration of 1.2 m/s2.The cable from the crate passes over a solid cylindrical pully at the top of the boom. The pulley has a mass of 130 Kg. The cable is then wound onto a hollow cylindrical 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

total torque = Ia torque of motor - tension*r = Mr^2(a/r) Torque of motor = Mar + tension*r = r (Ma+tension) Torque = (.76)(150*1.2 + 2058) = 1700.9 N-m Final answer.

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