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How to identify a Stable, Unstable, and Neutral Equilibrium?

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Final answer:

A system in stable equilibrium returns to its original position when displaced, an unstable one moves further away, and neutral equilibrium maintains its new position without moving back or further away.

Step-by-step explanation:

Types of Equilibrium

In physics, it is critical to differentiate among the types of equilibrium which are stable, unstable, and neutral equilibrium. These concepts are often described in relation to the potential energy of a system and its response to small displacements.

Stable Equilibrium

A system is in stable equilibrium if, when it is displaced slightly, it experiences a net force or torque that pushes it back toward its original position. An example is a ball resting at the bottom of a bowl.

Unstable Equilibrium

A system is in unstable equilibrium if, when displaced, it experiences a force or torque that further displaces it from its original position. An example is a ball balanced on the top of a hill.

Neutral Equilibrium

A system is in neutral equilibrium if, when displaced, it neither returns to its original position nor moves further away. An example is a ball on a flat horizontal surface; it will stay at its new position when moved.

Determining Equilibrium Type

To determine the type of equilibrium, consider the potential energy of the system and analyze the direction of the resultant force or torque after a small displacement.

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