Simple Harmonic Oscillator

Phase - Time - Displacement 

Phase and modulo 2pi 

The most general definition of simple harmonic oscillator 

Pure simple harmonic oscillator 

Some terminology for mass - spring system - Copilot 

When the phase concept exist  

Superposition of oscillators 

Superposition of N oscillators 

Single phase for many oscillators 

1. How the motion of oscillator performing SHM looks like?          Displacement      Amplitude      Period            Frequency        Angular frequency  w = 2 * pi / T     (number of cycles in two pi seconds)         Initial condition and iso-synchronicity

2. Temporal analysis of displacement, velocity and acceleration       Graphs        Maximum speed        Maximum acceleration                   Phase differences among (x, v, a) 

3. Hooke's force - phet          Restoring force and equilibrium point        Springs connected in parallel and in series       Acceleration - position graph          m*a = - k*x            Maximum acceleration

4. **SHO and circular motion   Phase as location  on a cycle       phi = 360 * t /T = w*t    Phase as total angular displacement     Relative displacement-cos( phase )    Phasors

5. **Two oscillators      Lead and lag         Delay time         Fractional delay time          Phase difference      Superposition        Beats

6. **Linear system - superposition of forces give rises to superposition of displacements