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Stability of Floating Body

(1)    Stable equilibrium:

•    When a body is given a smaller angular displacement due to external force and then it comes to its original position due to internal force, is called as stable equilibrium.

•    In stable equilibrium metacentre lies above centre of gravity, the metacentric height is positive.

•    External couple is balanced by couple due to internal force



Stable equilibrium

(2)    Unstable equilibrium:

•    When a body does not return to its original position from the slightly displaced angular position and heels farther away, is called as unstable equilibrium.

•    In unstable equilibrium, metacentre M lies below the centre of gravity G, the metacentre height is negative.

•    External couple and couple due to internal force are in same direction. it is an unstable condition.



Unstable equilibrium

(3)    Neutral equilibrium:

•    When a body is given a smaller angular displacement and set on new position, is called as neutral equilibrium.

•    In neutral equilibrium, metacentre M and centre of gravity G are coincide.



Neutral Equilibrium

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