The gate shown is 3.0 m wide (into the page), hinges around the bottom point, and for the purposes of this analysis can be considered massless. A weight is attached to the top point, and is threaded through a frictionless pulley. For what depth of water (d) will this rectangular gate be in equilibrium at an angle of 60o as shown?

Rectangle Gate AB has length L and width b into the paper is hinged at B and has negligible weight. The liquid level, water, h does not reach the top of the gate for an angle theta. Find an equation for the force P, required to keep the gate in equilibrium. Solve for width, b. In the figure. (hint: draw a free-body diagram for the left and right side of the gate separately)

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