An area in the form of an isosceles triangle with a base

Chapter 2, Problem 2.90

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An area in the form of an isosceles triangle with a base width of 6 ft and an attitude of 8 ft lies in the plane forming one wall of a tank that contains a liquid having a specific weight of \(79.8~ \mathrm{lb/ft^3}\). The side slopes upward, making an angle of \(60^\circ\) with the horizontal. The base of the triangle is horizontal, and the vertex is above the base. Determine the resultant force the fluid exerts on the area when the fluid depth is 20 ft above the base of the triangular area. Show, with the aid of a sketch, where the center of pressure is located.

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