Center of Buoyancy: Proving BFO at Center of Gravity of Fluid

[Opus_723]

Homework Statement

Show that the buoyant force on a partially submerged object acts at the center of gravity of the fluid before it is displaced. This point is called the center of buoyancy.

The Attempt at a Solution

I need to get better at proofs, so try not to just give me the answer. But I never have any clue where to start with things like this, so I need a nudge.

 

[vkash]

Homework Statement

Show that the buoyant force on a partially submerged object acts at the center of gravity of the fluid before it is displaced. This point is called the center of buoyancy.

The Attempt at a Solution

I need to get better at proofs, so try not to just give me the answer. But I never have any clue where to start with things like this, so I need a nudge.

Let's assume that center of buoyancy is in different point as that of center of gravity . In that case there will torque which will rotate your body and put it in sch an equilibrium where net torque became zero.

Understanding the definition of terms center of Buoyancy and center of gravity will help(try to see it on wiki).