The double pulley D has mass of mD = 15 kg, center of mass G coinciding with its geometric...

The double pulley D has mass of mD = 15 kg, center of mass G coinciding with its geometric center, radius of gyration kG = 10 cm, outer radius ro = 15 cm, and inner radius ri = 7.5 cm. It is connected to the pulley P with radius R = (ro − ri )/2 by a cord of negligible mass that unwinds from the inner and outer spools of the double pulley D. The crate C, which has a mass mC = 20 kg, is released from rest. The cord does not slip relative to the pulleys, and the inner and outer pulleys rotate as a single unit.

Neglecting the mass of the pulley P, use the impulse-momentum principles to determine the speed of the crate 4 s after release.

Figure P8.101