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- DictionaryUnstable equilibrium
noun
- 1. a state of equilibrium in which a small disturbance will produce a large change.
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The meaning of UNSTABLE EQUILIBRIUM is 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.
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Feb 20, 2022 · Most systems are in stable equilibrium, especially for small displacements. For another example of stable equilibrium, see the pencil in Figure 9.3.2 9.3. 2. Figure 9.3.2 9.3. 2: This pencil is in the condition of equilibrium. The net force on the pencil is zero and the total torque about any pivot is zero. A system is in unstable equilibrium ...
A system is in unstable equilibrium if, when displaced, it experiences a net force or torque in the same direction as the displacement from equilibrium. A system in unstable equilibrium accelerates away from its equilibrium position if displaced even slightly. An obvious example is a ball resting on top of a hill. Once displaced, it accelerates ...
- What Is Equilibrium
- Types of Equilibrium
- Equilibrium and Potential Energy
- How to Solve The Potential Energy Function Equilibrium Problems
- Solved Examples
A rigid body is supposed to be in equilibrium if there is no change in translational motion and no change in rotational motion General conditions for equilibrium are as follows (i) The total force must be zero (ii) The total torque about any axis must be zero. Sometimes it is convenient to consider torques about axes through the center of gravity.
We can divide the equilibrium into two categories with respect to the state of a body 1. Static equilibrium. 2. Dynamic equilibrium. Static equilibrium If the total force and total torque on the body are zero and the body is in the state of rest then its equilibrium is termed as static equilibrium. For example All stationary bodies Dynamic equilibr...
If only conservative forces are acting on the system, then we can define equilibrium in terms of Potential energyalso For 1D motion, we can write it like dU=−FxdxdU=−Fxdx Now For equilibrium, Force should be zero Then Fx=−dUdx=0Fx=−dUdx=0 For stable equilibrium, the second derivative should be positive. So for slight displacement, the restoring for...
(1) Potential energy function must be given for the problem (2) Differentiate with respect to the variable (3) To find the equilibrium points, put dU/dx=0 and solve for the values of x (4) Perform second differentiation of the Potential energy function (5) Find the value of the second derivative for the equilibrium points (6) If it is positive, we ...
(1) The potential energy function of the object confined to move along x-axis x> 0 is given below U(x)=U0[(kx)12−2(kx)6]U(x)=U0[(kx)12−2(kx)6] Here k > 0 and U0U0> 0 Find the equilibrium position and find out if it is stable,neutral and unstable equilibrium? Solution Now U(x)=U0[(kx)12−2(kx)6]U(x)=U0[(kx)12−2(kx)6] Differentiating with respect to x...
Dec 1, 2023 · In economics, equilibrium denotes a state in which the two opposite forces are unable to influence each other. In simple words, equilibrium is a position in which no further change is possible. The concepts of stable equilibrium, unstable equilibrium, and neutral equilibrium apply to both physics and economics. Photo by Marcelo Moreira on Pexels.
Mar 12, 2024 · A marble in the bottom of a bowl is an example of stable equilibrium. Image credit: [1] As your arm hangs from your shoulder, it is in stable equilibrium. If your arm is lifted to the side and then let go it will fall back down to the hanging position. The hanging arm is a stable position because the center of gravity of the arm is located ...
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