The force acting on a body moving along x-axis varies with the position of the particle as shown in the fig.

The body is in stable equilibrium at
Text Solution
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When particle moves away from the origin then at position
force is zero and at
force is positive (repulsive in nature) so particle moves further and does not return back to original position.
i.e. the equilibrium is not stable. Similarly, at position
force is zero and at
force is negative (attractive in nature) So particle return back to original position i.e. the equilibrium is stable.
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