5. Calculate the total hydrostatic force on the gate with width 2.5 m and pivoted at O; D is 3 m shown in Figure 5. The gate is composed of a lower curved section and an upper vertical section. The curved section is parabolic and is described by the equation y = cx, where c = 0.2.5 m ¹. Also, compute the height H, if a horizontal force P = 30 kN is applied to point A. H 2 Water y = (x² Gate A Figure 5 P

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)

The tank is filled with water. Suppose that h=4.0 m. Solve the problem using the integration method. Determine the resultant force acting on the trapezoidal plate C and determine the location of the center of pressure measured from the top of the tank.

Please answer with a good explantion so I can understand the problem