3.28 Determine the pressure at A. Draw a free body diagram of the SS 10-ft wide gate showing all forces and the locations of their lines of action. Calculate the minimum force P necessary to keep the gate closed. Hinge Air Air 8 ft 6 ft 4 ft. A Oil (SG = 0.90) P3.28

Q2 Water rises to level E in the pipe attached to tank ABC D in Fig. 3-4. Neglecting the weight of the tank and riser pipe, (a) determine and locate the resultant force acting on area AB, which is 8 ft wide; (b) compute the total force on the bottom of the tank; and (c) compare the total weight of the water with the result in (b) and explain the difference. to 12 A = 1.0 fr? 6' IC 20' Fig. 3-4

The uniform 5-m-long round wooden rod is tied to the bottom by a string. find the tension in the string. The fluid specific gravity S=0.2. D= 8 cm- Fluid 4 m - String

2- A tank containing water is shown in Fig. Calculate the total resultant force acting on side ABCD of the container and the 6 ft location of the center of pressure. IF 62.4 Ib/ft3 Y = Water B -20 ft 3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular plate of base 2 m and height 3 m which is 60 2.5 immersed in water in such a way that the plane of the plate -2 m- makes an angle of 60 with the free surface of the water. .3 The base of the plate is parallel to water surface and at a depth of 2.5 m from water surface.

3.6 A 125-mL cube of solid oak is held submerged by a tether as shown. Calculate the force of the water on the bottom surface of the cube and the tension in the tether. Patm Oil 0.5 msG = 0.8 Water 0.3 m Рз.6

3.26 For the situation shown, find the air pressure in the tank in psi. Calculate the force exerted on the gate at the support Bif the gate is 10 ft wide. Show a free body diagram of the gate with all the forces drawn in and their points of application located. Hinge TA 2 ft Air at pa Rectangular gate 6 ft Water -B +3 ft→

1. In the set-up shown, a rectangular gate, ABCD, is used to store layers of oil and water. The weight of the gate is 4 kN and the force exerted by the stopper on the gate is measured to be 80 kN. Sketch the pressure diagram on the rectangular gate. No need to put the expressions for pressures. Draw the free body diagram of the rectangular gate. Label all external forces. Calculate the moment done by the resultant hydrostatic force about the hinge. What is the pressure on the oil-water interface? Determine the weight of the block. Pressurized air Block 0.5 m ...... Oil, SG = 0.8 1 m ...... 0.8 m Water Hinge 1.2 SG = 1.26 2.4 m 130 degrees stopper 2 m

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)

Problem 3: The wall shown in the figure below is 20 ft long. (a) Calculate the total force on the wall due to water pressure and locate the center of pressure; (b) calculate the moment due to this force at the base of the wall. 12 ft Water

3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular plate of base 2 m and height 3 m which is 60 2.5 immersed in water in such a way that the plane of the plate h* -2 m makes an angle of 60 with the free surface of the water. 3 m YP The base of the plate is parallel to water surface and at a depth of 2.5 m from water surface.