Gate AB has length L, width b into the paper, is hinged at B, and has negligible

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Gate AB has length L, width b into the paper, is hinged at B, and has negligible weight. The liquid level h remains at the top of the gate for any angle θ. Find an analytic expression for the force P, perpendicular to AB, required to keep the gate in equilibrium.

Gate AB has length L, width b into the paper
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