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GATE 2020 ME (ME2) – Question 24

Fluid Mechanics · Fluid properties, fluid statics, forces on submerged bodies, stability of floating bodies · 1 mark · Multiple choice

Which condition determines stable equilibrium of a partially submerged floating body?

  1. Centre of buoyancy above centre of gravity
  2. Centre of buoyancy below centre of gravity
  3. Metacentre above centre of gravity
  4. Metacentre below centre of gravity

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Show answer and explanation

Correct answer: (C) Metacentre above centre of gravity

Explanation

After a small heel, the buoyancy line passes through the metacentre M. A restoring moment requires positive metacentric height GM, so M must be above G. The relative location of buoyancy centre B alone does not decide floating stability. **Answer:C**.