• # question_answer The force acting on a body moving along x-axis varies with the position of the particle as shown in the figure. The body is in stable equilibrium at:           A) $x={{x}_{1}}$ B) $x={{x}_{2}}$ C) both ${{x}_{1}}$and ${{x}_{2}}$ D) neither ${{x}_{\text{1}}}$nor ${{x}_{2}}$

[b] If a particle at ${{x}_{1}}$ is displaced slightly towards left or right the force is in the same direction. Hence the equilibrium is unstable. Whereas at ${{x}_{2}}$ the force is directed opposite to displacement.