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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(4-xi^{*}\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