The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 6400 lb. Assuming the density of water is 62.4 lb/ft³, how many cubic feet can the trough hold without exceeding this limitation? What is the value of h, the depth of water that exerts a fluid force of 6400 lb? What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h? h Sody The maximum volume is ft³. (Round down to the nearest cubic foot.) ... The value of h is (-3,14) (0,h) y (ft) (3,14) 14 y 3x x (ft) 0 End view of trough 14 ft 30 ft -6 ft Dimensional view of trough

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
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Problem 8.90P: The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of...
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The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 6400 lb.
Assuming the density of water is 62.4 lb/ft³, how many cubic feet can the trough hold without exceeding this limitation?
What is the value of h, the depth of water that exerts a fluid force of 6400 lb?
What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h?
h
Sody
The maximum volume is ft³.
(Round down to the nearest cubic foot.)
The value of his
(Round to two decimal places as needed.)
(-3,14)
(0,h)
y (ft)
(3,14)
14
y 3x
x (ft)
0
End view of trough
14 ft
30 ft
6 ft →
Dimensional
view of trough
Transcribed Image Text:The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 6400 lb. Assuming the density of water is 62.4 lb/ft³, how many cubic feet can the trough hold without exceeding this limitation? What is the value of h, the depth of water that exerts a fluid force of 6400 lb? What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h? h Sody The maximum volume is ft³. (Round down to the nearest cubic foot.) The value of his (Round to two decimal places as needed.) (-3,14) (0,h) y (ft) (3,14) 14 y 3x x (ft) 0 End view of trough 14 ft 30 ft 6 ft → Dimensional view of trough
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