© A frough 16 filled with water aad its vertical ends have the shape of a region in the picture Eft. parabolie 4ft Find the hudrastatie force on one end of the trough.

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Q: A circular plate of radius r feet is submerged vertically in a tank of fluid that weighs w pounds…

A: To Prove:  the fluid force on the circular surface of the plate is . If the radius of circular…

Q: A spherical tank with radius 4 m is half full of a liquid that has a density of 900 kg/m3. The tank…

A: Given data:     The given radius of the spherical tank is: r=4 m. The density of the liquid is:…

Q: The viewing portion of the rectangular glass window in a typical fish tank at the New England…

A: The force on the window is proportional to the depth of the water. Let ρ is the density of water.…

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A: In the question it is asked to calculate the center of mass of the lamina given in question. Given:…

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A: a)

Q: A lamina occupies the part of the disk x +y² < 25 in the first quadrant. Its density isp 6. A. What…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the center of mass of the solid S bounded by the paraboloid z = 2x2 + 2y? and the plane z = 6.…

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Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d. C…

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Q: 15. Built around 2600 BCE, the Great Pyramid of Giza in Egypt (Figure 7) is 146 m high and has a…

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Q: Find the center of mass of the solid S bounded by the paraboloid z = 2a? + 2y² and the plane z =…

A: Formula: Mass = Density×Volume  Given: Solid S is bounded by the paraboloid z = 2x2+2y2 and the…

Q: A box of height 2 ft and square base of side 2 ft is submerged in a pool of water. The top of the…

A: The diagram of a box immersed in a liquid is shown below.   The fluid pressure at a height h is,…

Q: Tind the mass of oclant of the ellipsoid 2. rC 16 25 36 the density at any point being P = 5cyz.

A: The given equation of the ellipsoid is x216+y225+z236=1. Therefore,  -4≤x≤4-5≤y≤5-6≤z≤6 For the…

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integ…

A: Solution of the problem as follows

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 tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2…

A: Work =force. Distance  Force = mass*gravity Mass= density *volume

Q: A thin wire lies along the curve C:7(t) = vZti + v7tj + (4 – t²)k, 0 < t s 2. Find the wire's mass…

A: Given is c: r⇀(t)=2ti→+7tj→+(4-t2)k→…

Q: Find the fluid force on the vertical plate submerged in water, where the dimensions b = 1 and a = 5…

A: Solution is in step 2

Q: A semicircular plate 2 feet in diameter sticks straight down into fresh water with the diameter on…

A: Given: Diameter = 2 feet, or radius = 1 feet.

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Q: Find the center of mass of a thin wire lying along the curve r(t) = 2ti + 4tj+ (x,y,z) = ( (Type…

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Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

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Q: A semicircular plate 3 feet in diameter sticks straight down into fresh water with the diameter on…

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Q: A milk truck carries milk with density 64.6 lb/ft3in a horizontal cylindrical tank withdiameter 6…

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Q: A swimming pool has the shape of a box with the base that measures 20m by 17m and a uniform depth of…

A: Introduction: The work done by a force is the scalar product of the force and the displacement that…

Q: A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the…

A: We need to find the force on the plate immersed in water.

Q: A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2…

A: It is given that, density of water, ρ=1000kg/m3Radius, r=6m If we consider this as a circle then…

Q: A spherical tank with radius 3 m is half full of a liquid that has a density of 900 kg/m³. The tank…

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Q: The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a…

A: Given: The end plates of the trough were designed to withstand a fluid force of 5400 lb. Assuming…

Q: The trough in the figure below has width w=4, lengthL=20 ft and height h=6. If the trough is full of…

A: The base, height and length are 4ft, 6ft and 20ft, respectively.Then the thickness of the triangle…

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Q: A block is being dragged along a horizontal surface by a constant horizontal force of size 45 N. It…

A: Use Newton's second law of motion: F→=ma→ Since force and acceleration are directed along a…

Q: A tank has the shape of an inverted right circular cone with height 11m and radius 19m. It is filled…

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Q: A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2…

A: The diagram is shown below :

Q: A vertical plate is partially submerged in water and has the indicated shape. 4 m 12 m Express the…

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Q: The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 6200 lb of…

A: We will find the length of the tank using the Simpson's Rule.Below find the solution in the image.

Q: 13. A lamina occupies the part of the disk a? + y <1 in the first quadrant. Find its center of mass…

A: Given that a lamina occupies the part of the disk x2+y2≤1 in the first quadrant. The density at any…

Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

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Q: (c) Show that y = xf(x) is odd. (d) Using the previous point show that My (e) Show that the center…

A: As per the given data, Region R bounded by y=f(x) in the interval [-a,a] is symmetric about the…

Q: The viewing portion of the rectangular glass window in a typical fish tank at the New England…

A: Consider the given statement of the question,Since, the force on the window is proportional to the…

Q: Verify the given moment(s) of inertia and find x and y. Assume that each lamina has a density of p =…

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Q: Find the mass of a wire that lies along the curve r(t) = (t - 6)j+ 2tk, 0sts3, if the density %3D 3…

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Q: For a given cylindrical tank, the radius is 2m and the height is 18m. The tank is filled to a depth…

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Q: A triangular plate with base 6 m and height 2 m is submerged vertically in water such that the…

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Q: A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4…

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Q: Suppose a cylindrical can is being made to hold 1 liter of oil. Design the can so that the minimum…

A: Area of the metal is fixed. And h=1000/(pi*r^2)We plug h in area and simplify and express A in terms…

Q: A parabolic arc y = Vã,1< x<2 revolves around x-axis. What is the volume of the solid of revolution?…

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Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic…

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