A cylinder that is
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- Calculate the resultant force caused by the water acting on the parabolic arch dam. The water levels are 16 ft on the upstream side and zero on the downstream side. For water, use =62.4lb/ft3.arrow_forwardA cubical buoy (2 m each side) weighs 687N and is anchored to the sea floor with a cable. The buoy normally floats on the surface. At certain times the water depth increases so that the buoy is completely immersed as shown in the figure. For this condition, what is the tension of the cable?arrow_forwardA 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.arrow_forward
- A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)arrow_forwardThe total pressure force of a square plate is 25 kN, placed vertically in water so that the center of the plate is 1.5 m below the free surface. Determine the size of the plate and the depth of center of pressure. The above square plate is taken out of the water which weighs 370.5 N in air and 180.3 N in water of specific gravity 0.99. Find the volume and specific gravity of the square plate. Draw a neat sketch.arrow_forward3m Q4/ Find the pressure force and position of center of pressure on a triangular plate of base 2m and height 3m which is immersed in water in such a way that the plane of the plate makes an angle of 60° with the free surface of the water. The base of the 2.5m 2m plate is parallel to the water surface and at a depth of 2.5m from water surface.arrow_forward
- Find the force on the parabolic plate if it is partly submerged in a liquid weighing 48 Ib/ft³ so that its axis is parallel to and 3 ft below the surface of the liquid. The figure is shown below. P(x, y)- Ay (4,6) 3-y (4,-6) Surface of Liquid :3arrow_forwardA container lying horizontally is filled with water. It is 5 ft long and its cross section is in the shape of a semicircle with diameter 3 ft at the top. The weight density of water is 62. 4 lb/ft. (Draw an illustration.) a. How much work is required to pump all the water to the top of the tank? b. Find the force due to fluid pressure on one semicircular end of the container.arrow_forwardA piece of steel wire, which is 3 m long, and of 1 mm diameter hangs vertically from the ceiling. A 5 kg mass, made from iron, (density = 7,9 x 103 kg.m-3 ) is attached to the free end. Find the tension in the wire when the mass is completely submerged in the water. (Density of water = 1 000 kg.m-3 )arrow_forward
- A vertical plate is submerged in water and has the shape as seen in the picture. Using the fact that the weight of water is 62.5 lbs/ft³, calculate the hydrostatic force (in Ibs) against the end of the tank. Give your answer correct to the nearest hundred. (Hint: First set up a Riemann sum that approximates the hydrostatic force, which can then be used to obtain an integral that represents the force.) 12 ft 8 ft 20 ft Hydrostatic force = Ibsarrow_forwardA 10cm x 10 cm x 10cm block of steel (ρsteel = 7900 kg/m3) is suspended from a spring scale. The scale is in Newtons. a. What is the scale reading if the block is in air? b. What is the scale reading after the block has been lowered into a beaker of water and is completely submerged?arrow_forwardA tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle between free surface of water and inclined side is 60 degrees. The width of the tank is 5 m. Find the force in kN exerted by the water on the incline side. ( With Free Body Diagram)arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L