Stable Equilibrium: Occurs when an object returns to its original position after being slightly displaced, typically because its center of mass rises with displacement.
Unstable Equilibrium:Occurs when an object moves further from its original position after being slightly displaced, typically because its center of mass lowers with displacement.
$$\text{Center of Mass}$$: $$\text{The point where the total mass of a system can be considered to be concentrated for translational motion calculations.}$$