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Mechanical Engineering QUESTION #2413
Question 1
For a floating or submerged body, stability requires that the metacentric height \(GM\) satisfies:
  • \(GM < 0\) (overturning moment)
  • \(GM > 0\) (righting moment — metacenter M above center of gravity G)✔️
  • \(GM = 0\) (neutral stability only)
  • \(GM\) must equal the center of buoyancy height
Correct Answer Explanation
Stability: metacentric height \(GM=KB+BM-KG>0\) for stable equilibrium. When \(GM>0\), any heel generates a righting moment restoring the body to upright.