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My teacher is very strict about copying his work so I will have to explain it.

We have a wall with two fluids of different constant densities and depths. The wall is 'L' long. The wall has a section that goes sideways a certain depth in and then down all the way to the bottom of the tank. We have already solved for the pressures as a function of z on both sides. Previous exercises had us find the resultant force on different sections of the wall. Now we are asked to find the torque on the lower portion of wall about point P.

I see that 2 things will be changing with z - the pressure force exerted from both fluids and the moment arm. I am not too great with integration - If I could get pointers on where to start with my integration that would be appreciated. refer to the picture.

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I believe I need to set my limits of integration so that point P is zero and then my torque will be P(z)*z --> (integral from 0 to -z+depth of P) P(z)zdz I can do that for both sides and add the torques

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Assume point "P" is rigid, calculate the fluid pressures on both sides of the wall, from the respective free water surface down to point "P", then sum the moments about it. I assume you know how to calculate the resultant forces, and the locations of their application (1/3 height of the respective pressure diagram above the base).

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