An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its minor axis is 3 feet below the surface of the water (weight density=p lb/ft³). Determine the appropriate integral to be used to determine the force on one side of the submerged portion. 0 ⒸF-3pS (3-y) √/4-y² dy (A) -2 ⒸF-3p ³(3-y) √4-y²dy B 4p (c) F-Lo- F= -S²(3-y) √/9-y²dy 3 -3 -3 4p Ⓒ/- +// 0 D F= (y-3)√9-y²dy 3 0

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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An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically
until its minor axis is 3 feet below the surface of the water
(weight density=p lb/ft³). Determine the appropriate integral to be used to
determine the force on one side of the submerged portion.
0
F=3p
f(3-y
A
(3-y)√4-y²dy
-2
-2
B
[² (3-y)√4-y²dy
©
4p
F=
S²(3-y) √9-y²dy
-3
-3
4p
Ⓒ F - +/- 5²0²
D
(y-3)√9-y²dy
3
0
F=3p
Transcribed Image Text:An elliptical plate, major axis 6 feet and minor axis 4 feet, is submerged vertically until its minor axis is 3 feet below the surface of the water (weight density=p lb/ft³). Determine the appropriate integral to be used to determine the force on one side of the submerged portion. 0 F=3p f(3-y A (3-y)√4-y²dy -2 -2 B [² (3-y)√4-y²dy © 4p F= S²(3-y) √9-y²dy -3 -3 4p Ⓒ F - +/- 5²0² D (y-3)√9-y²dy 3 0 F=3p
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