What is the centre of buoyancy? State its position for a floating body with respect to the centre of gravity of the body.

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Solution

Centre of buoyancy: It is the centroid of the immersed part of a ship or other floating body. The resultant of the buoyancy forces on a submerged body act through this point.

It coincides with the centre of gravity of the displaced liquid if the body is completely immersed.
For a floating body with its part submerged in the liquid, the centre of buoyancy is at the centre of gravity of the submerged part of the body the and it lies vertically below the centre of gravity of the entire body.

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Similar questions

Q. Consider the following statements related to buoyancy in fluid statics:
1. Principle of buoyancy is applicable both to floating bodies and to submerged bodies.
2. Archimedes formulated the first theory of buoyancy.
3. In analyzing buoyancy of a floating body it is assumed that the resultant vertical force passes through centre of pressure.
4. In a free-body diagram of a floating body summation of all horizontal forces is taken as zero.
Which of these statements are correct?

The centre of gravity and the centre of buoyancy of a floating body in stable equilibrium

(i) are always same

(ii) are always along a same vertical line

A homogeneous block floats on water (a) partly immersed (b) completely immersed. In each case state the position of the centre of buoyancy B with respect to the centre of gravity G of the block.

Q. For a completely submerged body with centre of gravity G and centre of buoyancy B, the condition of stability will be

Q. In a stable equilibrium for completely submerged bodies, what is the relation between forces? Given

F_{B} = Buoyant force, W = weight of body

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