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Damper Oscillator dropping amplitude to half the original value

  1. Sep 18, 2011 #1
    1. The problem statement, all variables and given/known data

    Consider a damped oscillator
    Assume that the mass is 318g, the spring constant is 104 N/m, and b = 0.106 kg/s. How long does it take for the amplitude to drop to half its initial value?

    M = 318 g Or 0.318 kg
    K = 104 N/m
    b = 0.106 kg/s

    2. Relevant equations

    n / a

    3. The attempt at a solution

    I have no sweet clue how to even start something like this! Help would be greatly appreciated!
     
  2. jcsd
  3. Sep 18, 2011 #2
  4. Sep 18, 2011 #3
    Do you know the equations of (damped) oscillatory motion?
    Have you tried solving:
    [itex] a\ddot{x}(t)+b\dot{x}(t)=-cx(t) [/itex]?
    I'd refer you hither, and you can simply plug in if you like, but I recommend actually solving for the general case, it's fairly trivial, and very instructive...
    http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator"
    Daniel
     
    Last edited by a moderator: Apr 26, 2017
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