Equilibrium Condition for Conservative System

Rarely Tested

$$\frac{dU}{dr} = 0$$

Condition for equilibrium where potential energy is extremum.

Stability test: $$\frac{d^2U}{dr^2} \gt 0$$ (stable), $$\frac{d^2U}{dr^2} \lt 0$$ (unstable)

  • $$U$$ = potential energy
  • $$r$$ = position variable
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