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Fluid Mechanics
Fluid Statics
GATE 2020
Medium

Which of the following conditions is used to determine the stable equilibrium of all partially submerged floating bodies?

  • ACentre of buoyancy must be above the centre of gravity
  • BCentre of buoyancy must be below the centre of gravity
  • Metacentre must be at a higher level than the centre of gravity
  • DMetacentre must be at a lower level than the centre of gravity

Explanation

A floating body is in stable equilibrium if a small tilt creates a righting moment, which requires the metacentre M to lie above the centre of gravity G — this holds regardless of whether the centre of buoyancy is above or below G.

Source: GATE ME 2020 Session 2 (ME-2) (2020)

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