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- 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.The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.Determine the volume of the concrete arch dam.
- Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.The weight of the cylindrical tank is negligible in comparison to the weight of water it contains (water weighs 62.4lb/ft3). The coefficient of static friction between the tank and the horizontal surface is s. (a) Assuming a full tank, find the smallest force P required to tip the tank, and the smallest s that would allow tipping to take place. (b) If the force P = 200 lb initiates tipping, determine the depth of water in the tank.Compute the surface area of the axi-symmetric domed structure.
- Determine the dimensions of constants A and B far which the following equation is dimensionally homogeneous: F=Akx2sinBxk where F is a force, x is a distance, and k represents stiffness (dimensions: [FL1]).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.Each of the three gates has a constant width 1: (perpendicular to the paper). Calculate the force P required to maintain each gate in the position shown. Express your answers in terms of b, c, h, and (the weight density of the fluid).
- Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.Given that the weight density of water is 9810 N/m3, calculate the fluid force (in Newtons) on a rectangular 1.1m 2.7m flat plate submerged horizontally in water at a depth of 4m. Give your answer correct to two decimal places without the units. Round your answer to 2 decimal places.If the base of the triangles is below the surface of 20 degrees Celsius of water determine the hydrostatic force in kilo- newton on one side of the gate. The base and height of the triangular gate is equal to 4m and 3m respectively.