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

The double pulley D has mass of 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 via 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 of 20 kg, is released from rest.

Figure P8.40

Neglecting the mass of the pulley P, determine the speed of the crate C and the angular velocity of the pulley D after the crate has dropped a distance h = 2 m.