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A submerged body will be in stable equilibrium if the
- a)Centre of buoyancy B is below the centre of gravity G
- b)Centre of buoyancy B coincides with G
- c)Centre of buoyancy B is above the metacentre M
- d)Centre of buoyancy B is above G
Correct answer is option 'D'. Can you explain this answer?
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A submerged body will be in stable equilibrium if thea)Centre of buoy...
Stability of unconstrained Submerged Bodies in Fluid:
The equilibrium of a body submerged in a liquid requires that the weight of the body acting through its centre of gravity should be colinear with an equal hydrostatic lift acting through the centre of buoyancy.
- 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 adopt its new position.
The relative position of the centre of gravity (G) and centre of buoyancy (B) of a body determines the stability of a submerged body.
Stable Equilibrium: B is above G
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A Submerged body in Stable Equilibrium
- Unstable Equilibrium: B is below G
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A submerged body will be in stable equilibrium if thea)Centre of buoy...
Stability of unconstrained Submerged Bodies in Fluid:
The equilibrium of a body submerged in a liquid requires that the weight of the body acting through its centre of gravity should be colinear with an equal hydrostatic lift acting through the centre of buoyancy.
- 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 adopt its new position.
The relative position of the centre of gravity (G) and centre of buoyancy (B) of a body determines the stability of a submerged body.
Stable Equilibrium: B is above G
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A Submerged body in Stable Equilibrium
- Unstable Equilibrium: B is below G
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A submerged body will be in stable equilibrium if thea)Centre of buoy...
Submerged Body in Stable Equilibrium
Stable equilibrium is the state of the body when it returns to its original position after a slight displacement. A submerged body is said to be in stable equilibrium if its centre of buoyancy is above the centre of gravity. Let's understand this concept in detail.
Centre of Buoyancy
The centre of buoyancy is the point through which the buoyant force acts on the body. It is the centroid of the displaced volume of fluid. The position of the centre of buoyancy depends on the shape and size of the body and the density of the fluid.
Centre of Gravity
The centre of gravity is the point through which the weight of the body acts. It is the centroid of the body. The position of the centre of gravity depends on the distribution of mass in the body.
Metacentre
The metacentre is the point of intersection of the vertical line passing through the centre of buoyancy and the new vertical line passing through the displaced centre of buoyancy when the body is tilted slightly.
Submerged Body in Stable Equilibrium
When a submerged body is in stable equilibrium, the following conditions are satisfied:
- The centre of buoyancy is above the centre of gravity.
- The metacentre is above the centre of gravity.
If the centre of buoyancy is below the centre of gravity, the body will be in unstable equilibrium, and if the centre of buoyancy coincides with the centre of gravity, the body will be in neutral equilibrium.
Conclusion
In conclusion, a submerged body is said to be in stable equilibrium if its centre of buoyancy is above the centre of gravity. This condition ensures that the body returns to its original position after a slight displacement. The metacentre should also be above the centre of gravity to maintain stable equilibrium.
Stable equilibrium is the state of the body when it returns to its original position after a slight displacement. A submerged body is said to be in stable equilibrium if its centre of buoyancy is above the centre of gravity. Let's understand this concept in detail.
Centre of Buoyancy
The centre of buoyancy is the point through which the buoyant force acts on the body. It is the centroid of the displaced volume of fluid. The position of the centre of buoyancy depends on the shape and size of the body and the density of the fluid.
Centre of Gravity
The centre of gravity is the point through which the weight of the body acts. It is the centroid of the body. The position of the centre of gravity depends on the distribution of mass in the body.
Metacentre
The metacentre is the point of intersection of the vertical line passing through the centre of buoyancy and the new vertical line passing through the displaced centre of buoyancy when the body is tilted slightly.
Submerged Body in Stable Equilibrium
When a submerged body is in stable equilibrium, the following conditions are satisfied:
- The centre of buoyancy is above the centre of gravity.
- The metacentre is above the centre of gravity.
If the centre of buoyancy is below the centre of gravity, the body will be in unstable equilibrium, and if the centre of buoyancy coincides with the centre of gravity, the body will be in neutral equilibrium.
Conclusion
In conclusion, a submerged body is said to be in stable equilibrium if its centre of buoyancy is above the centre of gravity. This condition ensures that the body returns to its original position after a slight displacement. The metacentre should also be above the centre of gravity to maintain stable equilibrium.
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A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer?
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A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer?.
A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer?.
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A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A submerged body will be in stable equilibrium if thea)Centre of buoyancy B is below the centre of gravity Gb)Centre of buoyancy B coincides with Gc)Centre of buoyancy B is above the metacentre Md)Centre of buoyancy B is above GCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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