Texts: Problem 3. 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 in turn, 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 3s. Use the values m = 40 kg, M = 10 kg, r = 225 mm, r = 150 mm, Io = 25600 kg·mm², 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 that supports the 10-kg mass?
MECH&AE102
Dynamics of Particles and Rigid Bodies
Spring 2323