The grooved pulley of mass m is acted on by a constant force F through a cable which is wrapped securely around the exterior of the pulley. The pulley supports a cylinder of mass M which is attached to the end of a cable which is wrapped securely around an inner hub. If the system is stationary when the force F is first applied, determine the upward velocity of the supported mass after 3 seconds. Use the values m = 40 kg, M = 10 kg, r_o = 225 mm, r_i = 150 mm, k_O = 160 mm, and F = 75 N. Assume no mechanical interference for the indicated time frame and neglect friction in the bearing at O. What is the time-averaged value of the force in the cable which supports the 10-kg mass?

Transcribed Image Text:

ri O m, ko To M F