the tank is allowed to float in fresh water, will the
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- The plane region A is submerged in a fluid of weight density . The resultant force of the fluid pressure on the region is R acting at the point C (called the pressure center) located at the distance h below the surface of the fluid. Show that R=Qa and h=Ia/Qa, where Qa and Ia are the first and second moments of A about the axis a-a.Two concrete blocks weighing 320 lb each form part of the retaining wall of a swimming pool. Will the blocks be in equilibrium when the pool is filled and the water exerts the line loading shown?The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness and weighs 18000 lb when empty. Determine the depth of the water h for which the center of gravity G of the tank plus water will be located at the surface of the water. For water, use =62.4lb/ft3.
- A 4-m-diameter water tank consists of two half cylinders,each weighing 4.5 kN/m, bolted together as shown inFig. . If the support of the end caps is neglected,determine the force induced in each bolt.A long solid cylinder of radius 0.8 m hinged at point A is used as an automatic gate, When the water level reaches 5 m, the gate opens by turning about the hinge at point A. Determine (a) the hydrostatic force acting on the cylinder and its line of action when the gate opens and (b) the weight of the cylinder per m length of the cylinder.A gate AB 4 ft long and 2 ft wide is held in position shown due to the spring whose constant is 96.0 Ibf/in. The spring is located compressed 1.5 ft in such a way as to keep the gate in equilibrium. Assume that on the gate (which moves through a circular sector BD as shown in Fig. figure), the force due to the spring is always horizontal. Determine the height d of the water.
- Find a) the total force on gate AB in KN and b) the position of the center of pressure in m with respect to the bottom of the pond. Assume that the gate is 8 feet wide, that 1ft = 0.3048m, and that 1PSI = 6897.1 PaThe uniform rod in Fig. is hinged at point B on thewaterline and is in static equilibrium as shown when 2 kgof lead (SG = 11.4) are attached to its end. What is thespecifi c gravity of the rod material? What is peculiar aboutthe rest angle θ = 30 ° ?A 1-kg cube of wood floats in an upright position in fresh water. If a side of the cube measures 12.5 cm, determine the pressure acting at the bottom of the cube due to the water. How deep is the cube floating?
- A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate, as shown in the figure below. When the water level reaches 15 ft, the cylindrical gate opens by turning about the hinge at point A. Determine (a) the hydrostatic force acting on the cylinder and its line of action when the gate opens. (b) the weight of the cylinder per ft length of the cylinder.Find a) the total force on gate AB in KN and b) the position of the center of pressure in m with respect to the bottom of the pond. Assume that the gate is 8 feet wide, that 1ft = 0.3048m, and that 1 psi = 6897.1 Pa. Relative density salt water 1.025.A rectangular plane surface b = 1 m and d = 3 + 0 lies in water such a way that its plane make an angle of 60⁰ with the free surface of water. Determine the total pressure force and position of center of pressure, when the upper edge is 2 m below the surface. do sketch if needed