A large gate weighing 200 N is supported by hinges at the top and bottom and is

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A large gate weighing 200 N is supported by hinges at the top and bottom and is further supported by a wire as shown in Figure.

(a) What must the tension in the wire be for the force on the upper hinge to have no horizontal component?

(b) What is the horizontal force on the lower hinge?

(c) What are the vertical forces on the hinges?

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