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Fluid Mechanics
Fluid Statics
GATE 2014
Easy

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

  • G is located below B
  • BG is located above B
  • CG and B are coincident
  • Dindependent of the locations of G and B

Explanation

For a fully (not just partially) submerged body, the metacenter coincides with the centre of buoyancy B, so stability is determined directly by the relative position of G and B: if G is below B, any tilt creates a righting couple, making the body stable.

Source: GATE ME 2014 (Session 1 / Set-1) (2014)

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