1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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...
    Last edited by a moderator: Apr 26, 2017
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook