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Damped oscillations

  1. Jun 2, 2012 #1
    1. The problem statement, all variables and given/known data

    Does the time for one oscillation, change during the damped oscillations? and please explain

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 2, 2012 #2
    Hi amit25. The differential equation for damped oscillations is:
    [itex]\ddot{x}+\gamma\dot{x}+\omega_0^2x=0[/itex]​
    If you solve for the angular frequency of this system and substitute a relationship between the angular frequency and the period of one oscillation. Is this relationship time dependent or independent? That should give you your answer.
     
  4. Jun 2, 2012 #3
    so time is independent
     
  5. Jun 2, 2012 #4
    The period for one oscillation is independent of the time (as long as γ and ω0 are time independent) if you work out an equation for it.
     
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