A 10-in diameter cylinder is composed of material with specific gravity 0.8. Will it float in water with the ends horizontal if its length is: а. 12 in b. 10 in с. 8in
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- 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.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.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 6-in. diameter hole is drilled in the conical frustum. Calculate the volume and the surface area of the resulting body.The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.Five 34-in. diameter holes are to be drilled in a uniform plate. Determine the angle for the circular segment that must also be removed if the center of gravity is to remain at point O.
- Small screws are used to fasten a piece of hardwood to the bracket that is formed from 1/20-in.-thick steel sheet metal. For steel, =0.283lb/in.3, and for hardwood, =0.029lb/in.3. Locate the center of gravity of the assembly.Compute the surface area of the axi-symmetric domed structure.Determine the smallest distance I) that would prevent the concrete dam from tipping about corner A. Use w=62.4lb/ft3 for water and c=150lb/ft3 for concrete.
- A piece of lead (SG = 11.3) is tied to a 130 cubic centimeter of cork whose specific gravity is 0.25. Determine the weight of the lead if the cork is fully submerged and just below the water surface.A homogenous wooden cylinder of circular section floats in oil of density 900 kg/m^3 with 25 mm projecting above the oil surface. When placed in water, the block projects 30 mm above the surface of the water. Determine the specific gravity of the wood.An isosceles triangular plate of base 5 m and altitude 5 m is immersed vertically in an oil of specific gravity 0.8. The base of the plate is 1 m below the free water surface, determine:(i) The total pressure, and(ii) The centre of pressure.