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The line of action of the buoyant force acts through the centroid of the
- a)submerged body
- b)volume of the floating body
- c)volume of the fluid vertically above the body
- d)displaced volume of the fluid
- e)none of the above
Correct answer is option 'D'. Can you explain this answer?
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The line of action of the buoyant force acts through the centroid of t...
The line of action of the buoyant force acts through the displaced volume of the fluid.
Buoyant force is the upward force exerted on an object submerged in a fluid, such as water or air. It is caused by the difference in pressure between the top and bottom of the object. The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object.
Explanation:
When an object is submerged in a fluid, it displaces a certain volume of the fluid. This volume is equal to the volume of the object that is submerged. The buoyant force acts on this displaced volume of the fluid.
The line of action of the buoyant force is the imaginary line along which the force is considered to act. It is important to determine the line of action of the buoyant force because it helps in analyzing the stability and equilibrium of the submerged object.
The line of action of the buoyant force passes through the centroid of the displaced volume of the fluid. The centroid is the geometric center of the volume, which depends on the shape and orientation of the object.
Significance of the line of action of the buoyant force:
1. Stability: The line of action of the buoyant force determines the stability of the object. If the line of action passes through the center of mass of the object, the object will be in stable equilibrium. However, if the line of action does not pass through the center of mass, the object will experience a torque and tend to rotate.
2. Equilibrium: The line of action of the buoyant force also affects the equilibrium of the submerged object. If the line of action is below the center of mass, the object will be in stable equilibrium, as the buoyant force will act opposite to the weight of the object. If the line of action is above the center of mass, the object will be in unstable equilibrium, as the buoyant force will act in the same direction as the weight of the object.
In conclusion, the line of action of the buoyant force acts through the displaced volume of the fluid. It is important to consider the line of action in analyzing the stability and equilibrium of submerged objects.
Buoyant force is the upward force exerted on an object submerged in a fluid, such as water or air. It is caused by the difference in pressure between the top and bottom of the object. The magnitude of the buoyant force is equal to the weight of the fluid displaced by the object.
Explanation:
When an object is submerged in a fluid, it displaces a certain volume of the fluid. This volume is equal to the volume of the object that is submerged. The buoyant force acts on this displaced volume of the fluid.
The line of action of the buoyant force is the imaginary line along which the force is considered to act. It is important to determine the line of action of the buoyant force because it helps in analyzing the stability and equilibrium of the submerged object.
The line of action of the buoyant force passes through the centroid of the displaced volume of the fluid. The centroid is the geometric center of the volume, which depends on the shape and orientation of the object.
Significance of the line of action of the buoyant force:
1. Stability: The line of action of the buoyant force determines the stability of the object. If the line of action passes through the center of mass of the object, the object will be in stable equilibrium. However, if the line of action does not pass through the center of mass, the object will experience a torque and tend to rotate.
2. Equilibrium: The line of action of the buoyant force also affects the equilibrium of the submerged object. If the line of action is below the center of mass, the object will be in stable equilibrium, as the buoyant force will act opposite to the weight of the object. If the line of action is above the center of mass, the object will be in unstable equilibrium, as the buoyant force will act in the same direction as the weight of the object.
In conclusion, the line of action of the buoyant force acts through the displaced volume of the fluid. It is important to consider the line of action in analyzing the stability and equilibrium of submerged objects.
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The line of action of the buoyant force acts through the centroid of thea)submerged bodyb)volume of the floating bodyc)volume of the fluid vertically above the bodyd)displaced volume of the fluide)none of the aboveCorrect answer is option 'D'. Can you explain this answer?
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