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A plate in the shape of an isosceles right triangle with side length 4 meters is submerged in water so that its hypotenuse is facing down, and its right angle vertex is level with the surface of the water. Find the hydrostatic force on one side of the plate. How can I properly set up the intergral. I thought the answer should be about 147929 N but I could be wrong.

A plate in the shape of an isosceles right triangle with side length 4 meters is submerged in water so that its hypotenuse is facing down, and its right angle vertex is level with the surface of the water. Find the hydrostatic force on one side of the plate. How can I properly set up the intergral. I thought the answer should be about 147929 N but I could be wrong.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A plate in the shape of an isosceles right triangle with side length 4 meters is submerged in water so
that its hypotenuse is facing down, and its right angle vertex is level with the surface of the water. Find
the hydrostatic force on one side of the plate. How can I properly set up the intergral. I thought the answer should be  about 147929 N but I could be wrong.

F = 4 = St = [*P(x)dx 4 -Cola- **pg (4 - x) dx 0 = pghdx = pg|4x = = 8pg X PB [{4(4) 2 4 }}-{4(0)-0² }] 4² 2 2
Transcribed Image Text:F = 4 = St = [*P(x)dx 4 -Cola- **pg (4 - x) dx 0 = pghdx = pg|4x = = 8pg X PB [{4(4) 2 4 }}-{4(0)-0² }] 4² 2 2
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