Question: 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

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.
(a) Determine the horizontal force exerted by the bottom hinge on the gate.
(b) Find the horizontal force exerted by the upper hinge.
(c) Determine the combined vertical force exerted by both hinges.
(d) What If? What must be the tension in the guy wire so that the horizontal force exerted by the upper hinge is zero?

A farm gate (Fig. P12.44) is 3.00 m wide

30.0 1.80 m In 3.00 m Figure P12.44

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a b c d Sum the torques about top hinge 0 C0D0200 N cos 300 0 200 N sin 300 300 m 392 N150 ... View full answer

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