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:
