Stable equilibrium exists when the object is in its lowest energy condition; metastable equilibrium exists when additional energy (ΔG) must be introduced before the object can reach true stability; unstable equilibrium exists when no additional energy is needed before reaching metastability or stability.
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What is a 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 give an example?
Stable equilibrium: When a particle is displaced slightly from a position, then a force acting on it brings it back to the initial position, it is said to be in stable equilibrium position. Example: A marble placed at the bottom of a hemispherical bowl.
What is stable equilibrium in thermodynamics?
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 causes stable equilibrium?
A body is in stable equilibrium under the action of gravity if its center of mass is directly over its base of support (Fig. 1.1a,b).
How do you find stable equilibrium?
Let y = y0 be an equilibrium of the equation y′ = g(y). We say that y0 is (locally) stable if and only if a small change in the value of y at y0 results in y returning to y0. We say that y0 is unstable if and only if a small change in the value of y at y0 results in y moving away from y0.
What are the 3 types of equilibrium?
- Stable Equilibrium.
- Unstable Equilibrium.
- Metastable Equilibrium.
What is the difference between stable and equilibrium?
Stability refers to the state of rest of a body while equilibrium is the state of balance of a body. When a body is in equilibrium, it stays in that position as long as there is no external influence on it. There are three states of equilibrium namely: Stable equilibrium.
What is stable equilibrium Class 11?
A stable equilibrium is one in which is the body is displaced from its equilibrium position then it tends to move towards that equilibrium point. For example, a ball kept at the bottom of a hemisphere. While in case of unstable equilibrium, if it is displaced from that point the body tends to move away from that point.
What are two types of equilibrium?
There are two types of chemical equilibrium: Homogeneous Equilibrium. Heterogeneous Equilibrium.
What is stable and unstable equilibrium Class 12?
In equilibrium, the system’s net force and torque should be zero. As a result, if potential energy is high, the equilibrium will be unstable, whereas if potential energy is low, the equilibrium will be stable.
Why is unstable equilibrium called equilibrium at all?
A body is said to be in unstable equilibrium when the body does not regain its original position when it experiences an external force. The other way of explaining unstable equilibrium is when the imaginary line of the body that connects the centre of gravity and the centre of the earth is not in the same line.
What is neutral equilibrium in physics?
When the center of gravity of a body lies at the point of suspension or support, the body is said to be in neutral equilibrium. Example: rolling ball. Explanation. If a ball is pushed slightly to roll, it will neither come back to its original nor it will roll forward rather it will remain at rest.
What is relation between equilibrium and stability?
If a system in equilibrium is disturbed slightly, then if it is stable it tends to return to or oscillate about its original equilibrium state. An unstable system tends to continue to move away from its original equilibrium state when perturbed from it.
How do you find stable unstable and neutral equilibrium?
What is stable equilibrium in electrostatics?
Q: What do we mean by stable equilibrium? A: A particle is in stable equilibrium happens at a point P0 if it experiences no force at P0 and if we make a small perturbation (i.e., we move the particle from the equilibrium point by a small distance) there is a force that makes it return towards the equilibrium point.
What is natural equilibrium?
natural equilibrium means the status where in a specific area an equilibrium occurs between the interactions of man, the elements of living nature and the system of habitat conditions created by the elements of inanimate nature, Sample 1.
What does stable mean in physics?
Stability is a measure of how likely it is for an object to topple over when pushed or moved. Stable objects are very difficult to topple over, while unstable objects topple over very easily. An object will topple over if its centre of gravity is ‘outside’ the base, or edge, on which it balances.
What is a stable equilibrium solution?
A Stable Equilibrium Solution is an equilibrium solution that all solutions “near” to this equilibrium solution converge on it. An Unstable Equilibrium Solution is an equilibrium solution that all solutions “near” to this equilibrium solution diverge from it.
What is a stable function?
In terms of the solution of a differential equation, a function f(x) is said to be stable if any other solution of the equation that starts out sufficiently close to it when x = 0 remains close to it for succeeding values of x.
What is a stable point?
A fixed point is said to be stable if a small perturbation of the solution from the fixed point decays in time; it is said to be unstable if a small perturbation grows in time. We can determine stability by a linear analysis.
How many types of stability are there?
There are three types of stability.
What is the formula for equilibrium in physics?
The equilibrium equations (balance of linear momentum) are given in index form as(1.4)σji,j+bi=ρu¨i,i,j=1,2,3where σij are components of (Cauchy) stress, ρ is mass density, and bi are body force components.
How do you distinguish between stable and unstable equilibrium Class 11?
- The body tries to come back to equilibrium if slightly disturbed and released.
- The center of mass of the body shifts slightly higher if disturbed from equilibrium.
- The potential energy of the body is minimum and it increases if disturbed.
What is an Equilibrant in physics?
Definition of equilibrant : a force that will balance one or more unbalanced forces.