The metacentric height (GM) of a floating body, which governs its initial stability, is the distance between:
Choose the correct answer
Centre of gravity G and centre of buoyancy B
Metacentre M and centre of gravity G
Metacentre M and the keel
Centre of buoyancy B and the waterline
Correct Answer
B. Metacentre M and centre of gravity G
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GM = BM − BG where BM = I/V (second moment of waterplane area / volume of displacement). Positive GM (M above G) → stable; GM = 0 → neutral; negative GM → unstable. Larger GM gives stiffer but more uncomfortable motion.
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