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2. (45 pts) Consider the 10-meter wide, quarter-circular gate shown below. Take R-3 ft and the...
A quarter-circular gate is being used to retain a water reservoir, Figure 3. The gate is...
A quarter-circular gate is being used to retain a water
reservoir, Figure 3. The gate is hinged at point B with radius R =
8 ft, depth b = 10 ft into the page, and weight W = 3000 lbf.
Compute the force F, applied at point A, that will keep the gate
from opening.
Figure 3. Quarter-Circular Gate for Question 5
The massless, 2-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It...
The massless, 2-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 1950 lb counterweight, W. Determine the water depth, h.
A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction...
A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction at the hinge and the weight of the gate can be neglected. Determine the required value of P. Water 29 ft Hinge Gate 60° lb
A rectangular gate having a width of 4 ft is located in the...
Q2. (20 points) The gate shown below is 5 ft wide. It is hinged at point...
Q2. (20 points) The gate shown below is 5 ft wide. It is hinged at point B and it rests against a smooth wall at A. The gate is rectangular. There is seawater acting on the gate with specific weight Yseawater = 64 lb/ft i. Draw a diagram for this question and show all forces acting on the gate with their locations ii. Find the force acting on the gate iii. Find the location of this force h iv. Find...
The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It...
The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 1650 lb counterweight, W. Determine the water depth, h Water Gat Pivot o Width 9ft h = the tolerance is +/-2% Show Work is REQUIRED for this question: Open Show Work LINK TO TEXT
A tank contains 500 kg of a liquid whose specufic gravity is 2. Determine the volume...
A tank contains 500 kg of a liquid whose specufic gravity is
2. Determine the volume of the liquid in the tank.
1.29 A tank contains 500 kg of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank. 130 Clouds can weigh thousands of pounds due to their liquid water content. Often this content is measured in grams per cubic meter g/m3.Assume that a cumulus cloud occupies a volume of one cubic kilometer,...
1.(4 pts) A rectangular tank, shown in Figure A, is 4 ft long, 2 ft wide, and 3 ft high. Initiall...
1.(4 pts) A rectangular tank, shown in Figure A, is 4 ft long, 2 ft wide, and 3 ft high. Initially there is 4 fts of water in the tank and water starts flowing into the tank at the time t Let V (t) denote the volume of the water in the tank at the time t. The graph of V', the derivative of V, o ft3 is given in figure B, where t is in minutes, and V'in min...
2) (120 pts) After successfully landing on the planet Mars, some scientists want to experimentally test the compressor mechanism given below. The compressor mechanism shown below is driven clockw...
2) (120 pts) After successfully landing on the planet Mars, some scientists want to experimentally test the compressor mechanism given below. The compressor mechanism shown below is driven clockwise by a DC electric motor at a constant rate of 800 rpm, and accelerating at 1000 rad/s'. In the position shown, the cylinder pressure is 70 psi, and the plston weighs 2 lb. The coefficient of friction between the piston and the compressor cylinder is 0.5. The weight of all other...
5) (10 pts) John is baby-sitting Casey, his 3-year old brother. He puts a crash helmet...
5) (10 pts) John is baby-sitting Casey, his 3-year old brother. He puts a crash helmet on Casey, places him in the red wagon and takes him on a stroll through the neighborhood. As John starts across the street, he exerts a 58 N forward force on the wagon. There is a 20 N resistance force (friction) and the wagon and Casey have a combined weight of 302 N. Construct a free body diagram showing all the forces acting upon...
A quarter-circular gate is being used to retain a water
reservoir, Figure 3. The gate is hinged at point B with radius R =
8 ft, depth b = 10 ft into the page, and weight W = 3000 lbf.
Compute the force F, applied at point A, that will keep the gate
from opening.
Figure 3. Quarter-Circular Gate for Question 5
A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in the figure below. The gate is hinged along its top edge and is held in position by the force P. Friction at the hinge and the weight of the gate can be neglected. Determine the required value of P. Water 29 ft Hinge Gate 60° lb
A rectangular gate having a width of 4 ft is located in the...
Q2. (20 points) The gate shown below is 5 ft wide. It is hinged at point B and it rests against a smooth wall at A. The gate is rectangular. There is seawater acting on the gate with specific weight Yseawater = 64 lb/ft i. Draw a diagram for this question and show all forces acting on the gate with their locations ii. Find the force acting on the gate iii. Find the location of this force h iv. Find...
The massless, 9-ft-wide gate shown in the figure below pivots about the frictionless hinge O. It is held in place by the 1650 lb counterweight, W. Determine the water depth, h Water Gat Pivot o Width 9ft h = the tolerance is +/-2% Show Work is REQUIRED for this question: Open Show Work LINK TO TEXT
A tank contains 500 kg of a liquid whose specufic gravity is
2. Determine the volume of the liquid in the tank.
1.29 A tank contains 500 kg of a liquid whose specific gravity is 2. Determine the volume of the liquid in the tank. 130 Clouds can weigh thousands of pounds due to their liquid water content. Often this content is measured in grams per cubic meter g/m3.Assume that a cumulus cloud occupies a volume of one cubic kilometer,...
1.(4 pts) A rectangular tank, shown in Figure A, is 4 ft long, 2 ft wide, and 3 ft high. Initially there is 4 fts of water in the tank and water starts flowing into the tank at the time t Let V (t) denote the volume of the water in the tank at the time t. The graph of V', the derivative of V, o ft3 is given in figure B, where t is in minutes, and V'in min...
2) (120 pts) After successfully landing on the planet Mars, some scientists want to experimentally test the compressor mechanism given below. The compressor mechanism shown below is driven clockwise by a DC electric motor at a constant rate of 800 rpm, and accelerating at 1000 rad/s'. In the position shown, the cylinder pressure is 70 psi, and the plston weighs 2 lb. The coefficient of friction between the piston and the compressor cylinder is 0.5. The weight of all other...
5) (10 pts) John is baby-sitting Casey, his 3-year old brother. He puts a crash helmet on Casey, places him in the red wagon and takes him on a stroll through the neighborhood. As John starts across the street, he exerts a 58 N forward force on the wagon. There is a 20 N resistance force (friction) and the wagon and Casey have a combined weight of 302 N. Construct a free body diagram showing all the forces acting upon...
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