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A sheet of plywood 1.37 cm thick is used to make a cabinet door 50.9 cm wide by 76.9 cm tall, with hinges mounted on the vertical edge. A small 191-g handle is mounted 45 cm from the lower hinge at the same height as that hinge. If the density of the plywood is 550 kg/m^3, what is the moment of inertia of the door about the hinges? Neglect the contribution of hinge components to the moment of inertia.

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