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- Compute the surface area of the axi-symmetric domed structure.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.
- 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.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.Find the location of resultant force( F)of the water on the triangular gate and the force(P) necessary to hold the gate in *.'the position shown in Fig.e=53 water 8 ate 5m Hing 3m P=51.09 KN O P= 61.09 KN O P= 71.09 KN O 2m
- 95 bläi 5 In the Fig. below is shown the * cross-section of the tank full of water under pressure. The length of the tank is 3 m. An empty cylinder lies along the length of the tank on one of its corners as shown. The horizontal component of the force acting on the curved surface ABC of * :the cylinder is 28 kN/m A r= 1.0m Tank full of water Empty cylinderThe water-gate articulated in point B and inclined at an alfa angle to the horizontal retains an H level of water. The gate is blocked by a cable which is anchored in the lower part of the dam. It is required to determine the force necessary to open the gate. The width of the water gate is 1 m.A ship of displacement 36000 tonne carries oil fuel in four tanks 16.0 m long and 6.0 m broad, the tanks arranged with their length in the fore and aft direction. The specific gravity of the oil is 0.84, and the density of seawater inwhich the ship is floating is 1020 kgm-3. For a ship of this size, the metacentric height is at least 500 mm. What is the reduction of the metacentric height of the ship because of the oil that is contained in the tanks and how serious is this reduction? Please discuss further your conclusions.
- 4) Determine the total hydrostatic pressure, the center of horizontal pressure and the angle of the total hydrostatic pressure and horizontal (you don't need to calculate the center of vertical pressure) on the 10-m-long, 4-m- high quadrant gate. B 8 m 7777 * 4 m Gate 10m1- The flow of water from a reservoir is controlled by a5-ft-wide L-shaped gate hinged at point A, as shown in Fig. If it is desired that the gate open when the water height is 12 ft, determine the hydrostatic and find its point of acting. (w for water = 62.4 Ib: /ft') Gate Is n 121- The flow of water from a reservoir is controlled by a5-ft-wide L-shaped gate hinged at point A, as shown in Fig. If it is desired that the gate open when the water height is 12 ft, determine the hydrostatic and find its point of acting. (w for water = 62.4 Ibf /ft³) B Gate 15 ft 12 ft