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A system is in unstable equilibrium if, when displaced from equilibrium, it experiences a net force or torque in the same direction as the displacement from equilibrium. A system is in neutral equilibrium if its equilibrium is independent of displacements from its original position.
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Neutral equilibrium describes a state where an object remains in equilibrium regardless of its displacement. This means that any displacement neither results in a restoring force or torque nor leads to further displacement. Examples: A common example is a ball resting on a flat, level surface.
11 sty 2024 · Neutral equilibrium: 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. Examples: (1) A ball on a flat surface. A small displacement will not have any impact on the ball.
A system is in neutral equilibrium if its equilibrium is independent of displacements from its original position. A marble on a flat horizontal surface is an example. Combinations of these situations are possible.
Placing the ball on the flat portion of the track (at left) shows neutral equilibrium. Placing the ball in the trough shows stable equilibrium. Placing the ball on the crest of the track (at right) shows unstable equilibrium.
The state is neutral to the lowest order and nearly remains in equilibrium if displaced a small amount. To investigate the precise stability of the system, higher order derivatives can be examined.
A system is in neutral equilibrium if its equilibrium is independent of displacements from its original position. A marble on a flat horizontal surface is an example. Combinations of these situations are possible.
