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For a floating body, buoyant force acts at the
- a)centroid of the floating body
- b)center of gravity of the body
- c)centroid of the fluid vertically below the body
- d)centroid of the displaced fluid
Correct answer is option 'D'. Can you explain this answer?
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For a floating body, buoyant force acts at thea)centroid of the floati...
In a situation of fluid statics, the net upward buoyancy force is equal to the magnitude of the weight of fluid displaced by the body. The center of buoyancy of an object is the centroid of the displaced volume of fluid.
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For a floating body, buoyant force acts at thea)centroid of the floati...
Explanation:
When an object is submerged in a fluid, it experiences an upward force called the buoyant force. This force is equal to the weight of the fluid displaced by the object. The buoyant force acts at the centroid of the displaced fluid and this is the correct answer.
Understanding buoyancy:
To understand why the buoyant force acts at the centroid of the displaced fluid, we need to understand the concept of buoyancy. When an object is submerged in a fluid, it displaces a certain volume of fluid. According to Archimedes' principle, the buoyant force experienced by the object is equal to the weight of the fluid displaced by the object.
Centroid of the displaced fluid:
The centroid of the displaced fluid is the point at which the buoyant force is considered to act. The centroid is the geometric center of the displaced volume. It is the point where the resultant force of the displaced fluid acts.
Comparison with other options:
a) The centroid of the floating body: The buoyant force does not act at the centroid of the floating body. The buoyant force is an external force acting on the body, not an internal force.
b) The center of gravity of the body: The buoyant force does not act at the center of gravity of the body. The buoyant force depends on the volume of fluid displaced, not on the mass or weight distribution of the body.
c) The centroid of the fluid vertically below the body: The buoyant force does not act at the centroid of the fluid vertically below the body. The buoyant force depends on the volume of fluid displaced, not on the position of the fluid below the body.
Therefore, the correct answer is option D, the centroid of the displaced fluid. This is the point at which the buoyant force acts.
When an object is submerged in a fluid, it experiences an upward force called the buoyant force. This force is equal to the weight of the fluid displaced by the object. The buoyant force acts at the centroid of the displaced fluid and this is the correct answer.
Understanding buoyancy:
To understand why the buoyant force acts at the centroid of the displaced fluid, we need to understand the concept of buoyancy. When an object is submerged in a fluid, it displaces a certain volume of fluid. According to Archimedes' principle, the buoyant force experienced by the object is equal to the weight of the fluid displaced by the object.
Centroid of the displaced fluid:
The centroid of the displaced fluid is the point at which the buoyant force is considered to act. The centroid is the geometric center of the displaced volume. It is the point where the resultant force of the displaced fluid acts.
Comparison with other options:
a) The centroid of the floating body: The buoyant force does not act at the centroid of the floating body. The buoyant force is an external force acting on the body, not an internal force.
b) The center of gravity of the body: The buoyant force does not act at the center of gravity of the body. The buoyant force depends on the volume of fluid displaced, not on the mass or weight distribution of the body.
c) The centroid of the fluid vertically below the body: The buoyant force does not act at the centroid of the fluid vertically below the body. The buoyant force depends on the volume of fluid displaced, not on the position of the fluid below the body.
Therefore, the correct answer is option D, the centroid of the displaced fluid. This is the point at which the buoyant force acts.
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For a floating body, buoyant force acts at thea)centroid of the floating bodyb)center of gravity of the bodyc)centroid of the fluid vertically below the bodyd)centroid of the displaced fluidCorrect answer is option 'D'. Can you explain this answer?
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