Question
Download Solution PDFFor stable equilibrium of floating bodies, the centre of gravity has to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Condition of stable equilibrium for a floating body in terms of metacentric height (GM) as follows:
- Stable equilibrium : GM > 0 (M is above G)
- Neutral equilibrium : GM = 0 (M coinciding with G)
- Unstable equilibrium : GM < 0 (M is below G)
Condition of equilibrium for a submerged body in terms of centre of buoyancy and the centre of gravity:
- Stable equilibrium: If its centre of gravity is directly below the centre of buoyancy
- Neutral equilibrium: If its centre of gravity is coincident with centre of buoyancy
- Unstable equilibrium: If its centre of gravity is directly above the centre of buoyancy
A submerged body is in equilibrium when the centre of gravity is located below the centre of buoyancy. If the body is tilted slightly in any direction, the buoyant force and the weight always produce a restoring couple trying to return the body to its original position.
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