### Determine the force that the hinge puts on the gate

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A rectangular gate 6 ft tall and 5 ft wide in the side of an open tank is held in place by the force F as indicated in the figure. The weight of the gate is negligible, and the hinge at O is frictionless. (a) Determine the water depth, h, if the resultant hydrostatic force of the water acts 2.5 ft above the bottom of the gate ,i.e., it is collinear with the applied force F. (b) For the depth of part (a), determine the magnitude of the resultant hydrostatic force. (c) Determine the force that the hinge puts on the gate under the above conditions.

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