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Damping. Altitude vs. Period which has greater effect?

  1. Mar 6, 2012 #1
    1. The problem statement, all variables and given/known data

    This is only part of the problem but this is all I'm having trouble with...

    Which effect of damping would be more noticeable, the change of period or the decrease of the amplitude?

    2. Relevant equations

    x(t)= Ae[itex]^{-\beta t}[/itex] * cos(w[itex]_{1}[/itex]t - [itex]\delta[/itex])

    period = [itex]\frac{2Pi}{w_{1}}[/itex]

    3. The attempt at a solution

    so I can sort of make an argument for both but I think I'm leaning more toward the period purely on the fact that w is inside the argument of the cosine so it's effect is smaller than a change in amplitude would be. Is that right? And if it is is it the right logic? because I'm sort of just guessing at this point but it seems to make sense to me...
     
  2. jcsd
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