Discussion
The buoyant force acting on a floating body passes through the :
Answer: A
The buoyant force passes through the centroid of the displaced volume.
The buoyant force equals the weight of fluid displaced and acts through the centre of gravity of that displaced fluid, which for a uniform fluid is the centroid of the displaced volume. This point is the centre of buoyancy.
The body's weight acts through its centre of gravity, a different point, and the stability of a floating body depends on how the two are placed. The metacentre is the point where the line of buoyancy cuts the body's axis after a small tilt. The centroid of the whole body's volume coincides with the centre of buoyancy only when the body is fully submerged.
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