An isosceles triangle gate in a wall is hinged at location A. Determine the magnitude of force FH just required to hold the gate closed at location B. Assume a specific weight of 9810 N/m3 for water. Known are the following: SGy = 0.9 X1 = 1.2 m X2 = 2 m X3 = 2.5 m α = 60°
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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.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).3. An opening in a dam is covered with a plate of 2 m square and is hinged on the top and inclined at 60° to the horizontal. If the top edge of the gate is 1 m below the water level, what is the force required to open the gate by pulling a chain set at 45° angle with the plate and set to the lower end of the plate? The plate weight is 2200 N. I Chain 1 m 45 Hinge Gate 60°
- Find the force P required to hold the gate in the position as shown in the figure. The gate is 5 meters wide.1. The gate shown in figure is 5.4 m wide and it is a quarter circle hinged at H. Determine the horizontal force P required to hold the gate in place. 4R 3 1.8 m 4R Water Gate wolsd H Hinge SolutionThree liquids of different densities fill connected tubes as shown in the figure below (not drawn to scale). The specific weights of two of the liquids are related by y2 = 3y1. Find y3 in terms of y1. Y1, 40 mm Y2 = 3Y1 60 mm 30 mm Y3
- Problem 3. Consider the gate (A-B-C-D) shown in the figure below. The gate is hinged at point A and is massless and has a width of w = 2 m (perpendicular to the paper). Determine the magnitude of the horizontal force that must be applied to the point D of the gate, shown in Figure, to keep the gate closed. Water 2m %3D Hinge 1m DThe gate shown below has a homogeneous depth into the page of 5 meters. Label all parameters and perform a force analysis of the gate. Determine the minimum force P, that could hold the gate closed assuming a frictionless hinge. Open to atmosphere Water 3m Hinge B -2m- 4 m PAn elliptical gate covers the end of a pipe 4 m in diameter. If the gate is hinged at the top, what normal force F is required to open the gate when water is 8 m deep above the top of the pipe and the pipe is open to the atmosphere on the other side? Neglect the weight of the gate. Water 8 m Hinge 5 m Atmospheric pressure 4 m diameter
- For the piston shown below how much should the force applied at the lever to keep it in equilibrium if the load has a mass of 75kg 20 cm 1m pivot 7 m load oil (s = 0.85) FIGURE OIf the bottom of a pop bottle similar to that shown in the figure below, what would be the magnitude of the resultant force acting on the hemispherical bottom? The air pressure in the top of the bottle is 34 psi, and the pop has approximately the same specific gravity as that of water. Assume that the volume of pop remains at 2 liters. Pair = 34psi -4.3 in, diameter R = i IbO 2.5 mm 2. A solid object is hung by using a thin cord from a floating timber as shown in the figure. The timber has a specific gravity of 0.5 with dimensions of 60 x 30 x 10 mm. The solid object has a volume of 6600 mm3. Determine the following: a. The tensile force in the cord b. The buoyant force acting on the solid object c. Mass of the solid object 10 mm M0, 15°C