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 hemispherical tank of radius 4 meters is positioned so that its base is circular. How much work is…
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Q: (d) Estimate the hydrostatic force on the bottom of the pool. X Ib
A: Answer is mentioned below
Q: calculate (by integration, showing all working) the distance from the nose of the jar to the centre…
A: Given figure: Given, z2=14yz=12y
Q: How do you calculate the force exerted by a liquid against a por-tion of a flat vertical wall? Give…
A: Given:How do you calculate the force exerted by a liquid against a portion of a flat vertical wall?…
Q: The second power of the distance from the inertia axis to an element of area is used to calculate…
A: Sol:- Correct option :-
Q: A particle is moved along the x-axis by a force that measures 2x^3 -2 pounds at a point x feet from…
A: To determine the work done on the particle.
Q: A hemispherical tank of radius 2 feet is positioned so that its base is circular. How much work is…
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Q: A spring, whose equilibrium length is 4 ft, extends to a length of 7 ft when a force of 4 lb is…
A: from Hooke's law, spring constant k is F=kx spring stretches 7-4=3 feet so take x=3 and the force is…
Q: If a thin plate is submerged horizontally, then the fluid force on one side of the plate is equal to…
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Q: A circular swimming pool with diameter 20 m and sides 4 m high is filled with water to a depth of 4…
A: We have to find the amount of work required to pump all of the water over the top edge of the pool.
Q: A force of 250 pounds stretches a spring 30 centimeters. How much work is done in stretching the…
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Q: A hose feeds into a small screen box of volume 10 cm3 that is suspended in a swimming pool. Water…
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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: How can you use line integrals to find the centers of mass of springs or wires? Explain
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Q: Consider a flat metal plate to be placed vertically underwater with its top 2m below the surface of…
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Q: dr, integration by parts )dr.
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Q: A spring is such that it would be stretched 6 inches by a 12 lb weight. Let the weight be attached…
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Q: A spring has a rest length of 14 inches and a force of 9 pounds stretches spring the spring to a…
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Q: A spring exerts a force of 100 N when it is stretched 0.2 m beyond its natural length. How much work…
A: Solution: Consider the given force F = 100N and stretched from natural length is x = 0.2m We have F…
Q: A box is pulled to a horizontal distance of 100m by a force of 500N applied at an angle 30° to the…
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Q: How much work is done lifting a 12-m chain that has mass density 3 kg/m (initially coiled on the…
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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: What is the pressure on a horizontal surface with an area of 7 m that is 3 m underwater? Use 1000 kg…
A: Given problem is :
Q: A metal chain ladder, 20 meters long, has a linear density of 3 Newtons per meter, and hangs down…
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Q: If a force of 128 lbs is required to stretch a 10-ft spring by 4 ft. How much work is done by…
A: Here we have to use the concept of integral calculus
Q: A very light cart holding a 8 + 10°N box is moved at constant velocity across a 6.2 m level surface.…
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Q: 2. A milk truck carries milk with density 64.6lb/ft in a horinontal cylindrical tank with diameter…
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Q: Suppose that a semicircular wire has the equation y= V25- x and that its mass density is 8 = b- y.…
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Q: Why is integration used to find the work done by a variable force?
A: Explain the reason behind that the integration used to find the work done by a variable force.…
Q: Give an example of a plate such that its center of mass does not occur at any point on the plate.
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Q: Why is integration needed to compute the work performed in stretching a spring?
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Q: The rope running over two fixed cylinders carries the 4-kg mass at one end. Determine the force P…
A: Given data: 1. Rope running over fixed cylinders carries 4-kg mass at one end. 2. Force P must be…
Q: A 1900-lb truck sits on a ramp inclined at 25°. Find the magnitude of the force required to keep the…
A: Given- weight of the truck =1900 , sits on a ramp inclined at 25°. To Find- The magnitude of the…
Q: d par rostatic force on one end of the trough.
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Q: A bicycle tire pump has a piston with area 0.33 in2. If a person exerts a force of 29 lb on the…
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Q: Why is integration needed to compute the work performed in pumping water out of a tank but not to…
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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: An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that its…
A: Please see the attachment
Q: Approximate the depth of the water in the tank in Exercise 9 if the fluid force is one-half as great…
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Q: The uniform beam has a mass of 47 kg per meter of length. Determine the reactions at the supports.
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Q: 3. A trough 2 m long and having a cross sectional area of an equilateral triangle is used to contain…
A: Given: Length of the trough is 2m Cross section of the trough is an equilateral triangle Width of…
Q: A horizontal cylindrical tank 4 ft in diameter and 10 ft long is full of water. Find the work done…
A: A horizontal cylindrical tank has a diameter 4 ft and a height 10 ft Therefore, the radius of the…
Q: The uniform beam has a mass of 42 kg per meter of length. Determine the reactions at the supports. y
A: Let us start solving the problem step by step Acceleration due to gravity is g=9.81N/m2
Q: %3D Jo 12+t+2dt2
A:
Q: A circular plate of radius 5 cm is immersed in a liquid of specific weight w such that its…
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Q: A rectangular plate 0.6 m wide and 1.2 m deep lies within a water body such that its plane is…
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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…
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- The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?A force of 5 pounds stretches a spring 1 inch from its natural position. Find the work done in stretching the spring from its natural length of 10 inches to a length of 15 inchesA stream of water flowing horizontally with a speed of 15ms- gushes out of a tube of cross-sectional area 10-2m? , and hits a vertical wall nearby. What is the force exerted on the wall by the impact of water, assuming it does not rebound?
- A force of 50 pounds stretches a spring 1 inch from its natural position. Find the work done in stretching the spring from its natural length of 10 inches to double that length.How do you calculate the force exerted by a liquid against a por-tion of a flat vertical wall? Give an example.How stress and strain distribute in an elastic body when load is applied on its cross sectional area.
- A dam has the shape of a trapezoid with height of 50 feet, width at top of 50 feet, and width at bottom of 40 feet. It is holding back water that has a weight – density of 63 lb per cubic foot. Use integration to find the fluid force on the dam if the water level is 20 feet from the bottom of the dam. Clearly indicate which expressions represent the Depth and the Area of a generic horizontal “slice” of the dam surface.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.A spring whose natural length is 20cm exerts a force of 220N when stretched to 25 cm. How much work required for stretching the spring from 8 cm beyond its natural lendth?
- An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that its top is 2m to the water surface (as figure below). Calculate the hydrostatic force against one side of the plate. (Water mass density ρ = 1000 kg/m3, and g = 9.8 m/s2)A trough is filled with a liquid of density 845 kg/m3. The ends of the trough are equilateral triangles with sides 6 m long and vertex at the bottom. Find the hydrostatic force on one end of the trough. (Use 9.8 m/s2 for the acceleration due to gravity.)A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene with density 820 kg/m3 to a depth of 1.5 m. Find (a) the hydrostatic pressure on the bottom of the tank, (b) the hydrostatic force on the bottom, (c) the hydrostatic force on one end of the tank.
