-ft-high vertical rectangular gate has its top edge 6 ft below the water level. It is hinged along its lower edge. What force, acting on

A vertical plate is submerged in water and has the indicated shape. 10 m 6 m A triangle is submerged in water pointed up. The top most vertex of the triangle touches the surface of the water. The base of the triangle is 6 m and is parallel to the surface of the water. The height of the triangle is 10 m. Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.)

The massless, 4-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 2000 lb counterweight, W. Determine the water depth, h. Consider "Ib" as the unit of force and the specific weight of water as y=pg=62.4 lb/ft'. Water Gate - Pivot O Width = 4 ft 2 It -3 ft

Q-4 A 3-m-wide, 8-m-high rectangular gate is located at the end of a rectangular passage that is connected to a large open tank filled with water as shown in Fig. The gate is hinged at its bottom and held closed by a horizontal force, FH, located at the center of the gate. The maximum value for FH is 3500 kN. (a) Determine the maximum water depth, h, above the center of the gate that can exist without the gate opening. (b) Is the answer the same if the gate is hinged at the top? Explain your answer. 4 m | FH 4 m Hinge