How does the oscillation period of a floating body respond when its metacentric height is increased________________?
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Answer: C. lower
Explanation
Increasing the metacentric height creates a larger restoring moment when a floating body is tilted from its equilibrium position. This stronger righting moment forces the floating vessel to snap back faster toward its upright vertical position during rocking. Because the vessel returns to center much quicker, the total duration of each complete oscillation cycle becomes noticeably lower. Metacentric height is the distance between a floating body center of gravity and its calculated metacentre stability point. A larger metacentric height improves ship initial stability against capsizing but results in a stiff, uncomfortable rolling motion for passengers. Harmonic oscillation formulas show that natural rolling frequency is directly proportional to the square root of the metacentric height.
Remaining at the same oscillation period is impossible because restoring torque increases directly with a larger metacentric height parameter. A higher oscillation period would mean slower rocking, which contradicts the mathematical relationship where increased stability shortens the cycle. Claiming the response depends unpredictably on body weight ignores established naval architecture equations governing floating body harmonic oscillations.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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