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A floating body attains stable equilibrium if its metacenter is
- a)At the centroid
- b)Above the centroid
- c)Below the centroid
- d)Anywhere
Correct answer is option 'B'. Can you explain this answer?
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A floating body attains stable equilibrium if its metacenter isa)At th...
Metacenter and Stable Equilibrium in Floating Bodies
In the context of floating bodies, the metacenter plays a crucial role in determining the stability of the body.
Metacenter
The metacenter is the point at which the vertical line passing through the center of buoyancy of a floating body intersects the centerline of the body when the body is tilted from its equilibrium position. It is a virtual point and does not physically exist on the body.
Stable Equilibrium
A floating body is said to be in stable equilibrium when it returns to its original position after being tilted or disturbed. This means that the body is stable and will not capsize easily.
Position of Metacenter
When the metacenter of a floating body is above the centroid (center of gravity) of the body, the body attains stable equilibrium. This is because when the body is tilted, the metacenter shifts to the new position of the center of buoyancy, which creates a restoring moment that brings the body back to its original position.
Conclusion
In summary, for a floating body to attain stable equilibrium, the metacenter must be located above the centroid of the body. This ensures that the body is stable and will return to its original position when tilted.
In the context of floating bodies, the metacenter plays a crucial role in determining the stability of the body.
Metacenter
The metacenter is the point at which the vertical line passing through the center of buoyancy of a floating body intersects the centerline of the body when the body is tilted from its equilibrium position. It is a virtual point and does not physically exist on the body.
Stable Equilibrium
A floating body is said to be in stable equilibrium when it returns to its original position after being tilted or disturbed. This means that the body is stable and will not capsize easily.
Position of Metacenter
When the metacenter of a floating body is above the centroid (center of gravity) of the body, the body attains stable equilibrium. This is because when the body is tilted, the metacenter shifts to the new position of the center of buoyancy, which creates a restoring moment that brings the body back to its original position.
Conclusion
In summary, for a floating body to attain stable equilibrium, the metacenter must be located above the centroid of the body. This ensures that the body is stable and will return to its original position when tilted.
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Community Answer
A floating body attains stable equilibrium if its metacenter isa)At th...
- Stable Equilibrium: If the body returns to its original position by retaining the originally vertical axis as vertical.
- Unstable Equilibrium: If the body does not return to its original position but moves further from it.
- Neutral Equilibrium: If the body neither returns to its original position nor increases its displacement further, it will simply adapt its new position
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A floating body attains stable equilibrium if its metacenter isa)At the centroidb)Above the centroidc)Below the centroidd)AnywhereCorrect answer is option 'B'. Can you explain this answer?
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