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When body is completely or partially immersed in a fluid, how much its weight be distributed for it to be in stable equilibrium.
- a)Around the lower part
- b)Around the upper part
- c)Is independent of weight distribution
- d)None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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When body is completely or partially immersed in a fluid, how much its...
When the weight distribution is around the lower part, the centre of gravity is at lower portion and hence below the centre of buoyancy which is condition for stable equilibrium.
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When body is completely or partially immersed in a fluid, how much its...
Weight Distribution for Stable Equilibrium in Fluid
Weight distribution in a fluid plays a crucial role in determining the stability of a body immersed in it. When a body is partially or completely immersed in a fluid, its weight must be distributed around the lower part for it to be in stable equilibrium.
Explanation:
- Center of Buoyancy: When a body is immersed in a fluid, it experiences an upward force called buoyancy. This force acts through the center of buoyancy which is the centroid of the volume of fluid displaced by the body.
- Center of Gravity: The weight of the body acts through its center of gravity. For the body to be in stable equilibrium, the center of gravity must be located above the center of buoyancy.
- Stable Equilibrium: When the weight is distributed around the lower part of the body, the center of gravity is positioned below the center of buoyancy. This configuration ensures that any small disturbances will cause the body to return to its original position, maintaining stability.
- Unstable Equilibrium: If the weight is concentrated around the upper part of the body, the center of gravity will be above the center of buoyancy. This leads to an unstable equilibrium where any slight disturbance can cause the body to topple over.
Therefore, to ensure stable equilibrium of a body immersed in a fluid, the weight distribution must be around the lower part to maintain the proper relationship between the center of gravity and the center of buoyancy.
Weight distribution in a fluid plays a crucial role in determining the stability of a body immersed in it. When a body is partially or completely immersed in a fluid, its weight must be distributed around the lower part for it to be in stable equilibrium.
Explanation:
- Center of Buoyancy: When a body is immersed in a fluid, it experiences an upward force called buoyancy. This force acts through the center of buoyancy which is the centroid of the volume of fluid displaced by the body.
- Center of Gravity: The weight of the body acts through its center of gravity. For the body to be in stable equilibrium, the center of gravity must be located above the center of buoyancy.
- Stable Equilibrium: When the weight is distributed around the lower part of the body, the center of gravity is positioned below the center of buoyancy. This configuration ensures that any small disturbances will cause the body to return to its original position, maintaining stability.
- Unstable Equilibrium: If the weight is concentrated around the upper part of the body, the center of gravity will be above the center of buoyancy. This leads to an unstable equilibrium where any slight disturbance can cause the body to topple over.
Therefore, to ensure stable equilibrium of a body immersed in a fluid, the weight distribution must be around the lower part to maintain the proper relationship between the center of gravity and the center of buoyancy.
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When body is completely or partially immersed in a fluid, how much its weight be distributed for it to be in stable equilibrium.a)Around the lower partb)Around the upper partc)Is independent of weight distributiond)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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