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A swinging door that weighs w=400.0N is supported by hinges A and B so that the door can swing about a vertical axis passing through the hinges. The door has a width of b=1.00m, and the door slab has a uniform mass density. The hinges are placed symmetrically at the door’s edge in such a way that the door’s weight is evenly distributed between them. The hinges are separated by distance a=2.00m. Find the forces on the hinges when the door rests half-open.