A triangular gate having a horizontal base 4 ft. long and an altitude of 6ft is inclined 45o from the horizontal with vertex pointing upward. The base of the gate is 8 ft below the surface of the liquid, which has a specific gravity of 0.82. What normal force, P must be applied at the vertex of the gate to open it, neglecting the weight of the gate.

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.