What is meant by stable equilibrium in physics?
equilibrium is said to be stable if small, externally induced displacements from that state produce forces that tend to oppose the displacement and return the body or particle to the equilibrium state. Examples include a weight suspended by a spring or a brick lying on a level surface.
What is stable equilibrium example?
When the center of gravity of a body lies below point of suspension or support, the body is said to be in STABLE EQUILIBRIUM. For example a book lying on a table is in stable equilibrium. Explanation. A book lying on a horizontal surface is an example of stable equilibrium.
What is stable and unstable?
If the difference between the solutions approaches zero as x increases, the solution is called asymptotically stable. If a solution does not have either of these properties, it is called unstable.
What is stable equilibrium in physics class 11?
A stable equilibrium is the one in which when the body is displaced from its equilibrium state it tends to move towards that specific equilibrium point. While in the case of the unstable equilibrium, when it is displaced from that specific point the body moves away from the point.
What is stable equilibrium in fluid mechanics?
If the body returns to its original position by retaining the originally vertical axis as vertical. Unstable Equilibrium: If the body does not return to its original position but moves further from it.
How do you find stable and unstable equilibrium?
Stability theorem
- if f′(x∗)<0, the equilibrium x(t)=x∗ is stable, and.
- if f′(x∗)>0, the equilibrium x(t)=x∗ is unstable.
What is stable equilibrium in electrostatics?
The condition for equilibrium is that the forces on the third bead are equal in magnitude and opposite in direction. If the bead has positive charge, it is in stable equilibrium; any small deviation of the bead from equilibrium will result in a net force acting to return the bead to its equilibrium position.
What is neutral equilibrium?
A body is said to be in neutral equilibrium if on being slightly displaced it remains in its new position; e.g., a ball placed on a horizontal surface or a cone supported on its side on a horizontal surface.
What is the difference between equilibrium and stability?
As nouns the difference between stability and equilibrium is that stability is the condition of being stable or in equilibrium, and thus resistant to change while equilibrium is the condition of a system in which competing influences are balanced, resulting in no net change.
What is stable unstable and neutral equilibrium?
Stable Equilibrium: If the body returns to its original position by retaining the originally vertical axis as vertical. Unstable Equilibrium: If the body does not return to its original position but moves further from it.
What is buoyancy and stability?
A floating body is STABLE if, when it is displaced, it returns to equilibrium. A floating body is UNSTABLE if, when it is displaced, it moves to a new equilibrium. The point B is the centre of buoyancy (the centroid of the displaced volume of fluid) where the upward buoyancy force, FB, acts.
What is the example of unstable equilibrium?
When the ice cream cone is made to rest on its apex on a book, the movement of the book will disturb the position of the ice cream cone. This is an example of unstable equilibrium.
What is an example of stable equilibrium?
A ball located at the top of a spherical projection is an example of unstable equilibrium. Stable equilibrium means that, with small deviations of the body from this state, forces or moments of forces emerge which tend to return the body to the state of equilibrium.
What is stable equilibrium in physics?
A stable equilibrium is a state where any relatively small deviation from this state will result in counteracting forces bringing the system back to the state of equilibrium. This is in contrast with unstable equilibrium, where any deviation will result in compounding forces moving the system away from the state of equilibrium.
What is the stability of equilibrium?
Stability of equilibria Equilibria. Linearization. Reduced Normal Forms. Two Major Critical Cases. More Complicated Example. Classification of Critical Cases. Special Classes of Systems. References. See Also
What is unstable equilibrium?
unstable equilibrium. The condition of a structure in a state of equilibrium; when a slight disturbance is applied to the structure and then removed, the structure does not return to its original equilibrium position. Compare with stable equilibrium.