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Question no. 20306

Where must the metacentre be positioned relative to the center of gravity for a floating body to achieve stable equilibrium_________________ ?

Select your answer for: Where must the metacentre be positioned relative to the center of gravity for a floating body to achieve stable equilibrium_________________ ?
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Answer: E. above the center of gravity

Explanation

For stable equilibrium, a floating body's metacentre must be positioned above its center of gravity. This vertical arrangement creates a restoring righting moment when the body is tilted. A restoring moment forces the floating structure to return to its upright equilibrium position. The metacentre is the theoretical point where the line of action of buoyancy force intersects centerline. Center of gravity represents the average location of the total mass of the floating object. Center of buoyancy acts through the centroid of the submerged displaced liquid volume.

Naval architects calculate metacentric height carefully to ensure cruise ships remain stable at sea. Insufficient metacentric height can cause vessels to capsize easily during severe storm conditions. Cargo loading protocols prevent ships from becoming unstable by keeping centers of gravity low. Placing the metacentre below the center of gravity creates an overturning moment, causing capsizing. Center of buoyancy always remains below the metacentre in stable floating hull configurations. Positioning the metacentre between other centers fails to provide the required righting stability.

Subject
Engineering
Topic
—
Difficulty
medium

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