Consider a flat metal plate to be placed vertically underwater with its top 2m below the surface of the water. Determine a shape for the plate so that if the plate is divided into any number of horizontal strips of equal height, the hydrostatic force on each strip is the same.

Q: The 110-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.…

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Q: It takes 5 J of work to stretch a particular spring 14 cm beyond its natural length. What is the…

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Q: Find the fluid force on the vertical plate submerged in seawater

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Q: A force of 14 lb is required to hold a spring stretched 4 in. beyond its natural length. How much…

A: We know that by Hookes Law, the force required to hold the spring at a distance of x units beyond…

Q: A 1700-lb truck sits on a ramp inclined at 29°. Find the magnitude of the force required to keep the…

A: m=mass =1700 lb theta=29 degree   force due to inclination and gravity , along with inclination is F…

Q: A truck carries milk having density 66.55 lb/ft³ in a horizontal cylindrical tank whose ends have…

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Q: A water trough 12 m long has ends shaped like inverted isosceles triangles, with base 6 m and height…

A: Given that a water trough 12 m longwhose ends shaped like inverted isosselestriangles, with base 6m…

Q: When a certain spring is expanded 9 centimeters from its natural position and held fixed, the force…

A: Given query is to find the the work required to stretch the spring additional 9 cm

Q: Find the work done in pushing a car a distance of 12 m while exerting a constant force of 300 N.

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Q: (d) Estimate the hydrostatic force on the bottom of the pool. X Ib

A: Answer is mentioned below

Q: A spring on a horizontal surface can be stretched and held 0.5m from its equilibrium position with a…

A: Concept used: Here we shall use the Hooke's Law. Hooke’s law states that the applied force F equals…

Q: A particle is moved along the x-axis by a force that measures 10/(1 + x)² pounds at a point x feet…

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Q: Find the fluid force on the vertical plate submerged in water, where the dimensions are given in…

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Q: A 2-ft-high and 5-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft…

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Q: determine the magnitude of the force exerted by block Y on block X during this acceleration.

A: In this question, we need to find the force exerted by block Y on block X.

Q: The building slab is subjected to four parallel column loadings. Determine F1 and Fz if the…

A: Given that the building slab is subjected to four parallel column loadings. To determine F1 and F2 :

Q: 9. Calculate the amount of work done when a sleigh is pulled 50 m by a force of 30 N applied at an…

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Q: A circular swimming pool has a diameter of 10 m, the sides are 4 m high, and the depth of the water…

A: According to the problem, we have

Q: Find the fluid force on the vertical plate submerged in water. Units are in feet and water is 62.5…

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Q: Find the acute angle that a constant unit force vector makes with the positive x-axis if the work…

A: Given- a constant unit force vector makes with the positive x-axis if the work done by the force in…

Q: A spring on a horizontal surface can be stretched and held 0.40.4 m from its equilibrium position…

A: Force required to stretch the spring by x meteres from the equilibrium position is given by F = kx…

Q: 1) An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that…

A: Here, the top surface of the triangle plate is 2m  below the free surface of the water. Therefore,…

Q: A rectangular pontoon is 7 m long and 3 m wide. The welghl pontoon is 30 tons. Determine the…

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Q: How much work does it take to slide a crate 20 m along a loading dock by pulling on it with a 200-N…

A: Here it is given that a force of 200N is applied at an angle of 30 degrees from horizontal to move a…

Q: A rectangular sea aquarium observation window is 12.0 ft wide and 5.0 ft high. Calculate the force…

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Q: A swimming pool is 20 ft wide and 40 ft long and its bottomis an inclined plane, the shallow end…

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Q: Find the fluid force on one side of the rectangular plate, where the dimensions are given in feet,…

A: Consider the given:

Q: A rear wheel drive car is stuck in the snow between other parked cars as shown. In an attempt to…

A: (a) The equivalent force-couple system at the car center of mass G which will be given as - From a…

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: · A vertical gate, composed of a squa- re and a triangle, is submerged so that its upper edge…

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Q: When fluid force acts on the side of a submerged object, in which direction does it act?

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Q: Suppose it takes a force of 21 N to hold a spring that has been stretched from its natural length of…

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Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9…

A: Let's find.

Q: In a pool filled with water to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by…

A: a.The integral for Fluid Force Against a Vertical Flat Plate:Suppose that a plate submerged…

Q: A water swimming pool has the inner dimensions as: 24 m (Length) x9.0m (width) ×2.5m (depth). It is…

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Q: A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene with density 820 kg/m3 to a depth of…

A: As given specifications of tank Length = 8 m Width = 4 m Height = 2 m Depth = 1.5 m Density of…

Q: Find the work required to compress a spring from its natural length of 1 ft to a length of 0.75 ft…

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Q: Find the work W done by a force of 7 pounds acting in the direction 30° to the horizontal in moving…

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Q: A semicircular plate 4 feet in diameter sticks straight down into freshwater (weight - density 62.4…

A: This question is related to force and integration. We will solve this question by using formula of…

Q: Find the work done in pushing a car along a level road from point A to point B, 80 feet from A,…

A: Given: F=95 pounds, d=80feet we know that workW is given by W=F.d…

Q: Find the fluid force on the vertical plate submerged in water, where the dimensions are given in…

A:

Q: An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that its…

A:

Q: A force of 9 lb is required to hold a spring stretched 9 in. beyond its natural length. How much…

A: By . Hooke's law, force required to stretch a spring distance x from its natural length is F=kx A…

Q: Find the fluid force on the vertical plate submerged in water, where the dimensions are given in…

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Q: Find the fluid force on the vertical plate submerged in water, where the dimensions are given in…

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Q: 21. The massive Three Gorges Dam on China's Yangtze River has height 185 m (Figure 16). Calculate…

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Q: A force of 5 pounds stretches a spring 1 inch from its natural position. Find the work done in…

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Q: Determine the force being experienced by a 2-microcoulomb charge at (-2,4,6) m due to another point…

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Q: A square plate that is 2 by 2 m is submerged in water so that its topedge is level with the surface…

A: Given: A square plate 2 by 2 m is submerged in water so that its top edge is levelwith surface of…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.