A vertical triangular plate $ABC$ is placed inside water with side $BC$ parallel to water surface as shown. The force on one surface of plate by water is (density of water is $\rho $ and atmospheric pressure $P_0$ )
Diffcult
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$\mathrm{F}=$ pressure at centroid $\times$ area
$\mathrm{F}=\left(\mathrm{P}_{0}+\frac{\mathrm{h}+\mathrm{h}+\mathrm{a}+\mathrm{h}+\mathrm{a}}{3} \rho \mathrm{g}\right) \frac{1}{2} \mathrm{ab}$
$=\left(P_{0}+\left(h+\frac{2 a}{3}\right) \rho g\right) \frac{1}{2} a b$
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