Java Physics



Damped SHM



Internal Links :

Spring-Mass Shm Oscillator (Applet)

Resonance (Applet)

Run Applet Online

Run on Java-enabled web browsers by adding the URL in the Exception Site List in your
Java Control Panel settings. But, whenever you do this, you must ensure the site is safe.
(Web Safety Checker: Scamadviser, Norton, Sucuri, Google).

Download Executable Jar File

Run outside of the browser by pressing 'Enter' or double-clicking the Jar file

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, where AA is the prime number following 7.
  • Last Update:2018-4-22