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- The thin-walled cylindrical can with a spherical dimple weighs 0.2 lb. Determine the force P required to push the can into water to a depth of 8 in. Use =0.036lb/in.3 for water.One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.Q1/ A block of wood 5 m long, 2.5 m wide, and 1.2 m deep is floating horizontally in water. If the density of the wood is 7.2 kN/m³, calculate the volume of water displaced and the position of the center of buoyancy.
- Fluid1. Hydrostatic Force on Plane Surface. An open rectangular tank is 7 m high and has a square base 5 m on a side. If the tank is half-filled with fresh water (density is 1000 kg/m'), determine (a) the total hydrostatic force on a vertical side, in kN and (b) the location of the center of pressure as measured from the liquid surface, in cm. Draw the side view of tank showing the hydrostatic force F and the distance, yp. Is I + Ad a. Magnitude: F = yh,A b.Direction: Perpendicular to the Area c. Location: y, === S.As shown in the illustration, a 6-m-wide, 15-m-long barge is filled with rocks and floats in water. Assume that the rocks' and barge's center of gravity, G, is positioned along the centerline at the barge's surface. What is the metacentric height in meters if the barge carrying the rocks weights 1,765.8 kN?
- The 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.A semicircular gate with a radius R = 7 ft is hinged along B and held by a horizontal force FA applied at A. The picture on the right shows the gate if you were looking in the direction of the arrow beneath FA. The liquid to the left of the gate has a specific weight of y-64.8 lbf/ft° and a depth of H-26 ft. Calculate the force of the liquid on the gate in Ibf. FA A Gate: side view R ВA hydrometer fl oats at a level that is a measure of thespecifi c gravity of the liquid. The stem is of constant diameterD , and a weight in the bottom stabilizes the body tofl oat vertically, as shown in Fig. . If the positionh = 0 is pure water (SG = 1.0), derive a formula for h as afunction of total weight W , D , SG, and the specifi c weightγ 0 of water.
- An equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the maa density of water is 1000 kg/m3.)Consider a flatboat hull which carries cargo down a river. When fully loaded the craft weight 150 kN. How far will this boat sink into the water? (i.e., What is boat’s “displacement, D?”) Be sure to draw a free-body diagram that shows all external forces operating on the boat; also, show all relevant dimensions. Locate the center of buoyancy (ycb) from the bottom of the hull. If the metacenter (M) is located at 0.98 m from the bottom of the hull, is this boat stable?1. A metal plate determined by y = x2 submerged in water as show. Find the total hydrostatic force on 16 the plate. You may leave the density of water as p and gravity as g. Give exact answer. (20,25) Gusten Lo woter level metal plate 16