A 4-m-long quarter-circular gate of radius 4 m and of negligible weight is hinged about its upper edge A, as shown in the figure. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force (in N) required to keep the gate closed when the water level rises to A at the upper edge of the gate.   Round your answer to 2 decimal places.

Q: 1) Determine the magnitude of the horizontal and vertical components of the total force per meter…

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Q: Given that the weight density of water is 9810 N/m3, calculate the fluid force (in Newtons) on a…

A: Given data :- weight density = 9810 N/m^3 dimension of the plate = 1.1 m× 2.7 m depth = 4 m find the…

Q: 8.122 The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between…

A: The resultant force acting on the point B can be calculated using the formula given below- F=Fx2+Fy2…

Q: gate AB 4 ft long and 2 ft wide is held in position shown due to the spring whose constant is 96.0…

A: Given:length og gate, l=4 ftwidth of gate, w=2 ftk=96.0 lbf/inx=1.5 ft

Q: A vertical, triangular gate with water on one side is shown in figure. Determine the total resultant…

A: Base of the triangle, b= 2 ft= 2(0.3048) m= 0.6096 m Height of the triangle, c= 3 ft= 3(0.3048)=…

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Q: In the given question/s find the fluid force on the vertical side of the tank, where the dimensions…

A: The pressure is due to the water at the side wall is not constant but is varying. At the top of the…

Q: The cylinder shown in the figure extends 8 ft into the paper. If the cylinder has the radius of 4…

A: Radius of cylinder, R=4 ftlength of the cylinder, l=8 ft

Q: What is the hydrostatic force (kN) that acts on the Gate A-B? Given that the specific gravity of…

A: Total Hydrostatic force on a flat surface in any orientation is given by :- 》》 F = ρgx¯ A Where;  ρ…

Q: 3. The end of a tank containing water (density 980 kg/m°) is vertical and has the shape of an…

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Q: 3. The length of submerged gate AB is 7 m. Determine the amount of horizontal and vertical…

A: data given Radius of the gate is (R)=6 m Length of the gate is (L)=7 m

Q: Figure 3 shows the plan view (top view) of a pair of gates which are hinged at the water channel…

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Q: Determine the hydrostatic force exerted by the water on the bottom and sidewall of the pool of width…

A: given ; width (b)=12ft

Q: (a) Determine the height water at 70°F will rise due to capillary action in a clean,…

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Q: The water-gate articulated in point B and inclined at an alfa angle to the horizontal retains an H…

A: Given:Depth of water, H=4.0 mInclination angle of the gate with the horizontal, α=60oWidth of the…

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Q: A pipe of diameter 0.5 m interferes .3 with the bottom surface of a reservoir as shown below.…

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Q: A hydraulic lift is to be used to lift a 5000-lb weight by putting a weight of 50 lb on a piston…

A: Given data,  F1=5000 lb  F2=50 lb  D2= 0.5 ft , Let D1 be the diameter required

Q: QUESTION 4 A 15 m long sluice gate is a quarter of a circle and is hinged at H, as shown in figure…

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A: Buoyancy is the force that causes objects to float. It is the force exerted on an object that is…

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A: To determine:Work done

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: The quarter cylindrical gate AB has a radius of 1.5 m and length 3 m perpendicular to the paper. It…

A: Given:Radius of gate, R=1.5 mLength of the gate, L=3 mUnit weight of water, γ=9.80 kN/m3Find:The…

Q: In the figure shown below, calculate the horizontal pressure, in psf, acting at the face of the dam…

A: Given:h=6 m

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Q: For the tank shown in the Figure, h1 =   4.5m  and h3 =   9.2m  . Determine the value of h2.

A: Givenh1=4.5mh3=9.2mso=0.85

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Q: The cover in the figure is hinged at the center O and has a fixed width w = 5 m. The equation of the…

A: Solution: To find the horizontal component of the hydrostatic force Fx, h¯=BC2=2m Then,…

Q: A cylinder (diameter 4 m) of weight 50 kN is placed on the bottom of the tank as shown and oil and…

A: Given data Diameter of cylinder = 4 m Weight = 50 kNAssuming length of cylinder = 1 mWe have to find…

Q: Show the derivation of the girth and longitudinal stresses of the thin-walled cylindrical container…

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Q: 1.5m 60 0.5m 0.5m 0.5m

A: For solution refer below images.

Q: A, as shown in Fig. If it is desired that the gate open when the water height is 12 ft, determine…

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Q: Problem 1. The gauge pressure of the air in the tank shown in the figure below is meası.red to be 65…

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Q: Q3: - A rectangular gate 1.5m wide and 2.5m high is located as shown. Find the force on gate and its…

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Q: A rectangular plane surface is 1.7 m wide and 2.7 m deep. It lies in vertical plane in water.…

A: Given data: w=1.7 md=2.7 mh=2.1 m Need to determine the total resultant force on the plane surface.