The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base of 6 m submerged vertically in the water. Find the force exerted by the water on the dam when the upper base is parallel to and 3 m below the surface of the water. (P = wight per unit volume water)
The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base of 6 m submerged vertically in the water. Find the force exerted by the water on the dam when the upper base is parallel to and 3 m below the surface of the water. (P = wight per unit volume water)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base of
6 m submerged vertically in the water. Find the force exerted by the water on the dam when the
upper base is parallel to and 3 m below the surface of the water.
(P =
wight per unit volume water)
4
3
A
F = P
1/2 St
(14 y - y²) dy
0
B
None of the choices
3
F = p
La
(7- y
3y
-) dy
2
0
4
3y
D F
= Pf* (14 - 2y) (²) dy
4
0
3
3
ⒸF-2
F =
(7y - y²) dy
0
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