A body floats in a static fluid. It is found that the metacentre coincides with the centre of gravity of the body. The body will be in _______ equilibrium. 

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  1. unstable
  2. neither stable nor unstable 
  3. neutral 
  4. stable

Answer (Detailed Solution Below)

Option 3 : neutral 
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Detailed Solution

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Explanation:

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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