Table of Contents
- 1 What makes an equilibrium stable?
- 2 What is stable equilibrium in biology?
- 3 What is meant by stable and unstable equilibrium?
- 4 What is stable equilibrium in fluid mechanics?
- 5 What is stable and unstable equilibrium?
- 6 What is another meaning of stable?
- 7 What is the difference between stable and unstable equilibrium?
- 8 What is an unstable equilibrium?
What makes an equilibrium stable?
Equilibrium is a state of a system which does not change. An equilibrium is considered stable (for simplicity we will consider asymptotic stability only) if the system always returns to it after small disturbances. If the system moves away from the equilibrium after small disturbances, then the equilibrium is unstable.
What is stable equilibrium in chemistry?
Thus, the state of relatively stable or metastable equilibrium is defined as the state in which a system remains for a long period of time, and any slight disturbance causing the system to deviate from the metastable state does not result in the system passing into another state.
What is stable equilibrium in biology?
Stable equilibrium can refer to: Homeostasis, a state of equilibrium used to describe organisms. Mechanical equilibrium, a state in which all particles in a system are at rest, and total force on each particle is permanently zero. Balance of nature, a theory in ecological science.
What is an example of a stable equilibrium?
A book lying on a horizontal surface is an example of stable equilibrium. If the book is lifted from one edge and then allowed to fall, it will come back to its original position. Other examples of stable equilibrium are bodies lying on the floor such as chair, table etc.
What is meant by stable and unstable equilibrium?
A system is said to be in stable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in a direction opposite to the direction of the displacement. A system in unstable equilibrium accelerates away from its equilibrium position if displaced even slightly.
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 fluid mechanics?
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 stable stability?
Definition of stability 1 : the quality, state, or degree of being stable: such as. a : the strength to stand or endure : firmness. b : the property of a body that causes it when disturbed from a condition of equilibrium or steady motion to develop forces or moments that restore the original condition.
What is stable and unstable equilibrium?
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. For example, consider a ball that is kept at the bottom of a hemisphere.
What is another meaning of stable?
Some common synonyms of stable are durable, lasting, and permanent. While all these words mean “enduring for so long as to seem fixed or established,” stable implies lastingness because of resistance to being overturned or displaced.
What are the conditions necessary for stable equilibrium?
The literature reports that equality of temperature, equality of potential and equality of pressure between a system and a reservoir are necessary conditions for the stable equilibrium of the system-reservoir composite or, in the opposite and equivalent l ogical inference, that stable equilibrium is a sufficient condition for equality.
What is the difference between stable and unstable equilibrium?
The difference between stable and unstable equilibria is in the slope of the line on the phase plot near the equilibrium point. Stable equilibria are characterized by a negative slope (negative feedback) whereas unstable equilibria are characterized by a positive slope (positive feedback).
What is an example of unstable equilibrium?
Unstable equilibrium means that, with a small deviation of the body from the equilibrium state, forces emerge which tend to increase this deviation. A ball located at the top of a spherical projection is an example of unstable equilibrium.
What is an unstable equilibrium?
Definition of unstable equilibrium.: a state of equilibrium of a body (as a pendulum standing directly upward from its point of support) such that when the body is slightly displaced it departs further from the original position-compare stable equilibrium.