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Homework Statement
A triangle with base 3 m and height 4 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
Homework Equations
[tex]
\int_{a}^{b}{\rho}g(x)w(x)dx
[/tex]
The Attempt at a Solution
I keep getting the wrong answer. Does it look like I'm setting it up right?
Using similar triangles
I have [tex]a = \frac{3}{4\sqrt{2}}\left(4xi^{*}\right)[/tex]
[tex]wi^{*}=2\left(\frac{\sqrt{3}}{2}a\right)[/tex]
[tex]a\mbox{re}a=wi\; \Delta x=\left( \sqrt{3}\; \; 3\frac{\sqrt{2}}{2}+\frac{3}{4\sqrt{2}}x \right)[/tex]
Pressure = 1000gx
Force = P*A
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