Mechanical Simple Harmonic Oscillators (SHO)


Simple Harmonic Motion

The Physics Classroom

Dan Russell's (Kettering University)  Acoustics and Vibration Animations

Phasors and Sinusoids

Examples of Mechanical Simple Harmonic Oscillators


Simple Pendulum


Spectrum of a Tuning Fork



An important calculation - the resonant frequency of a simple harmonic oscillator:

Consider a specific kind of resonator or harmonic oscillator - e.g., a pendulum or a tuning fork - and suppose that

Newton tells us that for any mechanical system

However, harmonic oscillators follow Hooke's law so that

Putting these two relationship together we have


We now "guess" the solution

(click on image to enlarge)

Phasor Representation


so that

Thus, this solution works if