Solved: A crate of mass 451 kg is being lifted by the

Chapter 9, Problem 9.82

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A crate of mass 451 kg is being lifted by the mechanism shown in Figure 9.20a. 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 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 connected to the crate.

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