For a floating body to be in a stable equilibrium, where G is the centre of gravity, B is the center of buoyancy and M is the metacentre, which of the following statements is true?

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SSC JE ME Previous Paper 8 (Held on: 27 October 2020 Evening)
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  1. M and G coincide
  2. M is below G
  3. M is above G
  4. M and B coincide

Answer (Detailed Solution Below)

Option 3 : M is above G
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Detailed Solution

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Concept:

The point ' M ' at which the line of action of the new buoyant force intersects the original vertical through the CG of the body, is called the meta-centre. It is a point about which a floating body starts oscillating when given a small angular displacement.

08.11.2017.30

GM > 0 (Metacentre is above centre of Gravity)

Stable equilibrium

GM = 0 (Metacentre coinciding with centre of Gravity)

Neutral equilibrium

GM < 0 (Metacentre is below centre of Gravity)

Unstable equilibrium

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