First slide

Fluid statics

Question

A body is floating in water in stable equilibrium. If G be its centre of gravity, B is the centre of buoyancy and M be its metacentre, then

Difficult

A

B must lie below G
B

M must lie between B and G
C

M must lie above G and B may lie below G
D

B may lie above G but M must lie between G and B

Solution

In the filled position of the body (angle of lift $θ$ is very small), the centre of buoyancy B is shifted to the new position B¹. In this case buoyant force F_B and weight W form a restoring moment which brings the body back to the original position as shown in Figure - (1). Restoring moment can be formed only when M lies above G. But B may lie above or below G.

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