Stability of floating bodies and metacentric height (GM) Two floating bodies A and B have metacentric heights GM of 1 m and 1.5 m respectively. Compare their stability and choose the correct statement.
Mechanical Engineering
Hydraulics and Fluid Mechanics
Difficulty: Easy
Choose an option
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AThe bodies A and B have equal stability
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BThe body A is more stable than body B
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CThe body B is more stable than body A
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DThe bodies A and B are unstable
Answer
Correct Answer: The body B is more stable than body A
Explanation
Concept/ApproachFor small heel angles, the initial stability of a floating body increases with metacentric height GM. Larger GM ⇒ stronger righting moment for the same heel.
Step-by-stepGMB = 1.5 m > GMA = 1 m ⇒ B has greater initial stability.
Final AnswerThe body B is more stable than body A