A crate of mass 451 kg is being lifted by the mechanism shown in part a of the figure. The two cables are wrapped around their respective pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about the center axle, relative to which the combined moment of inertia is 46.0 kg ˆ™ m2. The cables roll on the dual pulley without slipping. A tension of magnitude 2150 N is maintained in the cable attached to the motor. Find the angular acceleration of the dual pulley and the tension in the cable attached to the crate.

Transcribed Image Text:

Dual pulley T, Motor 1-0.600 m TI 2 0.200 m Axis ng Crate (b) Free-body diagram of pulley (c) Free-body diagram of crate