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GATE 2017 ME (ME2) – Question 26

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

For stability of a floating body, the ______.

  1. centre of buoyancy must coincide with the centre of gravity
  2. centre of buoyancy must be above the centre of gravity
  3. centre of gravity must be above the centre of buoyancy
  4. metacentre must be above the centre of gravity

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Correct answer: (D) metacentre must be above the centre of gravity

Explanation

A small heel is restoring when the metacentric height GM is positive. The metacentre must therefore be above the centre of gravity: **D**. The buoyancy centre alone need not lie above the centre of gravity; its shift during heel matters.