GATE ME 2020 Set 2 — Question 24
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Fluid Mechanics → Fluid Properties & Statics → Buoyancy & Stability
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Question
Which of the following conditions is used to determine the stable equilibrium of all partially submerged floating bodies?
Correct answer
(C) Metacentre must be at a higher level than the centre of gravity
Solution
For a floating body (partially or fully submerged), stability is determined by the relative position of the metacentre () and the centre of gravity ():
1.Stable Equilibrium: The metacentre lies above the centre of gravity (). When the body is tilted, the buoyancy force and weight create a restoring couple that brings the body back to its original position.
2.Unstable Equilibrium: The metacentre lies below the centre of gravity (). A tilting moment creates an overturning couple.
3.Neutral Equilibrium: The metacentre coincides with the centre of gravity ().
Note: For completely submerged bodies, stability depends on the relative positions of the centre of buoyancy () and centre of gravity (), but for floating bodies, the metacentre is the governing point.Continue learning with Success Tracker
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