Oscillations

Oscillations

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. Natural frequency of a oscillator         Mass and spring - phet  ( w^2 = k / m )         Pendulum ( w^2 = g /L )

5.  Potential energy - position           Maximum potential energy        Maximum kinetic energy         Total energy      Kinetic energy - position          Kinetic energy - time                 

6. Underdamped oscillator              Overdamped oscillator               Driven oscillator           Resonance 

7. **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

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

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