GATE ME 2014 Set 1 — Question 25
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Fluid Mechanics → Fluid Properties & Statics → Buoyancy & Stability
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Question
For a completely submerged body with centre of gravity ‘G’ and centre of buoyancy ‘B’, the condition of stability will be
Correct answer
(A) G is located below B
Solution
For a completely submerged body, the center of buoyancy is the centroid of the displaced volume and remains fixed relative to the body. The stability depends on the relative positions of and :
- Stable Equilibrium: is located below . If the body is tilted, the weight acting at and the buoyancy acting at create a restoring couple that brings the body back to its original position.
- Unstable Equilibrium: is located above . A tilt creates an overturning couple.
- Neutral Equilibrium: and coincide.
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