Find the Force on the Dam A damn of width (y-dimension) W with a face in the sha

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Find the Force on the Dam A damn of width (y-dimension) W with a face in the shape of a parabola (described by the equation (z=Cx^{2}) ) has water of constant specific weight (gamma) on its left as shown. Find the force (F_{p}) and the center of pressure (x_c,z_c) due to the water (of constant specific weight) acting on the damn. The dam has horizontal and vertical dimensions of L and (CL^{2}) , respectively, and the free surface and right side of the dam are at zero gage pressure. Note that z=0 in NOT at the free surface in this coordinate system.

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