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A farm gate (Fig. P12.44) is 3.00 m wide and 1.80 m high, with hinges attached...

A farm gate (Fig. P12.44) is 3.00 m wide and 1.80 m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30.0° with the top of the gate and is tightened by a turnbuckle to a tension of 200 N. The mass of the gate is 40.0 kg. (Assume that the positive directions are upward and to the right.)

Find the horizontal force exerted by the upper hinge.
What if? What must be the tension in the guy wire so that the horizontal force exerted by the upper hinge is zero?

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