Simple Harmonic Oscillator

Undamped Simple Harmonic Oscillator

The animation below is a simple harmonic oscillator with no damping set into motion.  It oscillates indefinitely at it's resonance frequency.

Damped Simple Harmonic Oscillator

The animation below is a simple harmonic oscillator that has internal damping.

Driven Simple Harmonic Oscillator

Below are three animations of a simple harmonic oscillator that is driven below it's resonance frequency (0.6*f_0) for a few cycles, at it's resonance frequency for a few cycles, and then above its resonance frequency (1.4*f_0) for a few cycles.

Below resonance:

At resonance:

Above resonance: