Physics@Brock

A crate of mass 451 kg is being lifted by the mechanism shown in the drawing. 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 I = 46.0 kg.m². If a tension of magnitude T₁ = 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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