Question 19 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. (A) F= -L³² (0-3 4p (y-3)√9-y²dy 0 4p (B) F= S²(3-y) √9-y²dy Ⓒ F=3p 3p (3-y) √√4-y²dy D F=3p =3p ² (3-y) √/4-y²dy 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 19
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.
4p
(A) F=
/
(y-3)√9-y²dy
0
3
4p
B F=
-L² (3
(3-y) v
9-y²dy
-3
.0
(C) F=3p
=3p (3-y) √√4-y²dy
/
-2
-2
ⒸP-30 √ ² (3-y
D F = 3p
3p √
(3-y)√4-y²dy
0
-3
Transcribed Image Text:Question 19 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. 4p (A) F= / (y-3)√9-y²dy 0 3 4p B F= -L² (3 (3-y) v 9-y²dy -3 .0 (C) F=3p =3p (3-y) √√4-y²dy / -2 -2 ⒸP-30 √ ² (3-y D F = 3p 3p √ (3-y)√4-y²dy 0 -3
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