The conditions for the stable equilibrium of a floating body area)the ...
The Stable Equilibrium of a Floating Body
A floating body experiences various forces and moments that affect its stability. The conditions for the stable equilibrium of a floating body are:
1. The Meta-centre should lie above the Centre of Gravity
The meta-centre is the intersection point of the line of action of the buoyancy force with the vertical line passing through the initial centre of gravity of the floating body. The position of the meta-centre determines the stability of the floating body. If the meta-centre is above the centre of gravity, the body will tend to return to its original position after a small disturbance.
2. The Centre of Buoyancy and the Centre of Gravity must lie on the same vertical line
The centre of buoyancy is the centre of the displaced volume of water, and the centre of gravity is the point through which the weight of the body acts vertically downwards. If the centre of buoyancy and the centre of gravity lie on the same vertical line, the body will be in a stable equilibrium.
3. A Righting Couple should be Formed
When the floating body is tilted, a righting couple is formed, which tends to bring the body back to its original position. The righting couple is produced by the weight of the body acting downwards and the buoyancy force acting upwards, which creates a moment that tends to restore the body to its original position.
Conclusion
All the above three conditions are necessary for the stable equilibrium of a floating body. If any of these conditions are not met, the body will not be in a stable equilibrium and will tend to capsize or overturn. Therefore, it is essential to consider these conditions while designing and constructing floating structures like ships and boats.
The conditions for the stable equilibrium of a floating body area)the ...
Since it is a floating body , there is no buoyancy, there is no gravitational force c and there is no righting couple. Here the specific weight of floating body is much less than that of liquid, in other words buoyant force is much more than the specific weight of the floating body.
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