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A door of width 1.06 m and height 2.08 m weighs 288 N and is supported by two hinges, one a distance 0.500 m from the top and the other a distance...

A door of width 1.06 m and height 2.08 m weighs 288 N and is supported by two hinges, one a distance 0.500 m from the top and the other a distance 0.500 m from the bottom. Each hinge supports half the total weight of the door.

Assuming that the door's center of gravity is at its center, find the horizontal components of force exerted on the door by each hinge.

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