In a static system with weights, where does the center of buoyancy lie?

The center of buoyancy is defined as the centroid of the displaced volume of fluid, and in a static system, it typically aligns directly below the center of mass of the object submerged in that fluid. This relationship is vital for maintaining stability. When an object is in equilibrium in a fluid, the center of buoyancy acts as the pivot point around which buoyant forces act.

As the object is displaced, the center of buoyancy will adjust in response to the change in the position of the fluid displaced, but will remain directly below the center of mass under static conditions. This positioning ensures that any shifts in the object's orientation in the fluid will create a torque that helps return it to equilibrium. Thus, the correspondingly stable configuration occurs when the center of buoyancy is directly below the center of mass, allowing for the heaviest parts of the object to rest lower than the buoyant forces acting on it.