I I think, I want to explain to this because this things are important from see here. Remember I will draw it this way, I I made the hull like that, what has happened? Now, remember see these are all important conceptually important, I have this, my weighted surface. Each point, I have got this pressure acting rho g z into n. This is my hydrostatic pressure. What I did I I take this hydrostatic force, if I call it say f d f. So, I found out moment about that that about whatever the c g point some point, if I call r.
So, I found out moment equal to integration of d f r cross d f, that is what I have done over weighted surface. This is what I found out is the restoring moment or why I found out this moment. Then I found out that -this moment is this direction, it will tend to reduce theta.
See, we have never talked about this line, but essentially that is what we have done I have displaced the hull. Then I found out if I displaced it, what is the external fluid pressure acting on it. The fluid pressure acting on it happens to be rho g z into g m t. That is what the, that net result of that comes out to be rho g v into g m t into theta or g z whatever.