Java Physics

 

 Damped

Damped SHM

 

 

Internal Links :

Spring-Mass Shm Oscillator (Applet)

Resonance (Applet)

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Damping proportional to velocity

  1. Three cases:
    • Lightly damped SHM:
      There is an oscillation but the amplitude decreases exponentially with time.
    • Heavily damped SHM:
      There is no real oscillation. There is only a very slow return of the object to the initial equilibrium position.
    • Critically damped SHM:
      There is no real oscillation. It returns to the equilibrium position in the shortest time.

  2. The period of a lightly damped SHM is slightly longer than that of the undamped.

  3. Test for exponential decay: Ao/A1 = A1/A2 = A2/A3 = .....
    Equal Ratio

Damping due to Solid Friction

  1. The amplitude decreases linearly with time. Therefore, Ao - A1 = A1 - A2 = A2 - A3 = .....
    Amplitude falls linearly


  2. The oscillator may finally stop at a point with nonzero displacement.

 

 

 


  • The author (Chiu-king Ng) has the copyright on all the simulations in this website.
  • Email phyAA@phy.hk, where AA is the prime number following 7.
  • Last Update:2017-6-5