WyzAnt asked me to write a summary of pendulums for their self help section. It includes frequencies, amplitudes, and periods of pendulums, conservation of energy, forces on a pendulum, and motion of objects experiencing Simple Harmonic Motion. It can be found here:
Most systems do not even reach their equilibrium conditions let alone overshoot them. However, some systems pass back and forth through their equilibrium many times, like a sin wave. If no energy is removed, these systems will oscillate back and forth to the same amplitude. If the amplitude decreases, we can use the same method as normal Simple Harmonic Motion but take into account "damping" in order to figure out when they will stop.