A reservoir is filled with water of density ρ. The depth of the water is ℎ. A gate is used to block the water on the right side as shown in the figure. The gate is hinged at the free surface level (z = 0), and a cable is attached to the gate ℎ/2 above the hinge. Compute how much pulling force F is needed to keep the gate closed. The atmospheric pressure is a constant p=p0 in case needed. The width (horizontal length) of the gate is W.

Q: The components of the hydrostatic force acting on the curved portion. The magnitude of the…

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Q: 3. The gate ABC as shown in Figure 3 is hinged at C and is in the form of quarter-circle wall of…

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Q: the distance in meters from the bottom of the reservoir to the center of pressure?

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Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42…

A: To Find :  The hydro static force  Given :  The depth of figure is d=42 m The widht of the gate is…

Q: The lower part of A₁ is resting on the ground, while A2 is elevated at y = 0.39d1 where di is the…

A: Given data:- Y1=0 y2 =0.39 d1=0.39×0.9 m=0.351 m The diameter of the larger pipe d1=0.9 m. The…

Q: Ql: In Figure below find the resultant pressure force and the depth of the centre of pressure on the…

A: Dgate=4ft and dhole=.9ft since1 ft=.3048 mso Dgate=4×.3048=1.2192 m and dhole=.9×.3048=.2743 ms=.8…

Q: Calculate the horizontal and vertical forces acting on the curved gate shown in the figure Calculate…

A: The figure below shows the schematic diagram of the Gate.

Q: Find the force P required to hold the gate in the position as shown in the figure. The gate is 5…

A: Given data: H=2 mR=2 mWg=5 m Need to determine the force P required to hold the gate in the position

Q: 3.2 Figure 3 shows a vertical flat plate which is fully submerged in water. The plate is in length…

A: Given:length, l=2mwidth, w=1 m

Q: Problem 2 Two open water tanks are connected through a manometer as shown in the figure below. (a)…

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Q: wo tanks A and B are connected together as described in the figure for question 1. At point C a…

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Q: An open tank contains 5.6m of water covered with 3.4m of kerosene (S.G=0.80). Find the pressure at…

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Q: An open tank contains y1 = 8.7m of water covered with y2 = 5.7m of kerosene (y=8 kn/m^3). Find the…

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Q: ir pressure in the top of the bottle is olume of pon remains at 2 liters

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Q: Three liquids of different densities fill connected tubes as shown in the figure below (not drawn to…

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Q: Determine the necessary vertical pull to be applied at the lower edge to open the gate.

A: The area of the gate is, A=4×4 m2 The specific gravity of the gasoline is, SG1=0.7 The height of the…

Q: How much work is done in forcing 50 ft3 of water through a 0.5-inch pipe if the difference in…

A: GivenQ=50ft3dameter of pipe d=0.5inpressure difference ∆P=15lbs/in2

Q: I 53 ft 5 ft Air Gasoline Water

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Q: A WATER TANK IS “L1” IN DIAMETER AND “L2” HIGH. IF THE TANK IS TO BE COMPLETELY FILLED, DETERMINE…

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Q: A trapezoidal plate shown in the figure is submerged in water is 3.3 m below the surface. The bases…

A: Givenh=3.3mb1=3mb2=8md=10mγ=9.75 kN/m3

Q: A circular surface (gate) submerged in water at an inclined angle of 45° as shown in the figure. If…

A: A submerged body underwater experiences a hydrostatic force due to pressure loading. This force is…

Q: When calculating the value of the force exerted by the water on the window of the dam. Explain why…

A: This question is comes from fluid mechanics, force in static fluid. We have to elaborate how to take…

Q: 3. The rigid surface shown on the left side of the figure has a vertical section and an inclined…

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Q: Water Hinge If R=0.88 m and h=3.8 m, calculate the value of the force F needed to maintain the gate…

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Q: For a vertical rectangular gate, one side has linseed oil (0.938) and the other has two…

A: Calculate the magnitude and direction of the net force acting on the gate.

Q: The isosceles triangle gate shown in the figure is hinged at A and filled with water. What is the…

A: The resultant force created by the pressure loading of a liquid acting on submerged surfaces is…

Q: For the tank shown below. The base of tank is semicircle, if the length of tank is (10m) find: 1.…

A: Understand that the vertical force on the base of the tank is the weight of the volume of fluid as…

Q: Find out the pressure difference between pipes A and B if A contains water and B contains oil of…

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Q: As illustrated in the figure, an inclined circular gate with a diameter of 1.1 meter has water on…

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Q: 4. Using the figure below, find the time it takes for tank 2 to increase water level by 2m. (C =…

A: Given data: Area of tank 1 = π a b = π x 2 x 3 = 6πArea of tank 2 = π4 x 42 = 4πInitial height…

Q: Question 2 The curved surface given in the figure is defined by y = 3vx. Determine the horizontal…

A: Question 2: Given: The equation of curved line, y=3x1/2 The width of gate, b = 2 m

Q: If the wall in following figure is 4 m long, calculate the total force on the wall due to the oil…

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Q: The gate is b=5m wide, is hinged y = 10050N/m³ at point B, and rest against a 15m smooth wall at…

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Q: 1- Panel BC in the figure is circular. Compute (a) the hydrostatic force of the water on the panel;…

A: Given:The panel BC is circular.

Q: Q4//Determine the required vertical force F to be applied at the lower edge to open the square gate…

A: Area= 2.8×2.8        =7.84m2 Location of CG(y) =1.8+2.8sin45/2                              =2.78m…

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.