What spatial condition defines an unstable equilibrium state for a floating body in terms of its metacentre (M)?influences?
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Answer: B. M is below G
Explanation
Floating bodies derive stability from the metacentre formed by intersecting buoyant force lines. When the metacentre is below the center of gravity, an overturning moment develops. This destabilizing moment amplifies any initial tilt, causing the floating body to capsize. Metacentre is the theoretical point where line of buoyant force intersects vertical centerline. Floating bodies intersect a free liquid surface, changing displaced geometry during tilts. Center of gravity acts downward through the exact geometric center of mass.
Ship stability calculations depend on maintaining a positive metacentric height at all times. Naval architects prevent vessel capsizing by ensuring the metacentre stays well above gravity. Cargo loading procedures must account for shifts in center of gravity affecting stability. Having the metacentre above gravity creates a restoring righting moment for stable equilibrium. Coinciding metacentre and gravity points result in neutral equilibrium conditions for floating structures. Stating none of these is incorrect because unstable equilibrium requires metacentre below gravity.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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