What intersection point defines the metacentre_________________________?
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Answer: B. buoyant force and the center line of body
Explanation
Tilting a floating body shifts its center of buoyancy away from the central vertical axis. The buoyant force vector acts vertically upward through this new shifted center of buoyancy. Extending this buoyant force line upward intersects the original centerline at the metacentre. The center of buoyancy corresponds to the geometric centroid of the displaced fluid volume. A ship's stability depends entirely on whether the metacentre lies above its center of gravity. Rotational displacement creates a moment arm that acts to right the floating vessel.
Naval architects calculate metacentric heights to ensure cargo ships remain stable at sea. Marine safety regulations mandate minimum stability thresholds for passenger vessels worldwide. Understanding floating body mechanics prevents catastrophic capsizing incidents during storms. Option A references the center of gravity rather than the displaced volume centroid. Option C incorrectly places the metacentre midway between gravity and buoyancy centers. Options D and E are incorrect because only option B correctly defines the intersection point.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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