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Energy in relation to a forced oscillator

  1. Oct 9, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the driving frequencies at which the mechanical energy of the forced oscillation is 64 % of its maximum value. (Do not assume weak damping.)

    2. Relevant equations
    E∝A2ω2, where A is amplitude & ω is the angular frequency.

    3. The attempt at a solution
    Screenshot_2015-10-09-10-42-20-1.png

    Of course this problem is connected to a previous forced oscillator problem, where the values of c,m,k,& Fo are given. Here, I would like to know how to approach this problem and if the currents step I took are correct?

    Thanks
     
  2. jcsd
  3. Oct 13, 2015 #2

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Hello there,

    No responses so far, so let me make a few comments:
    Your problem statement is far from complete, so it's hard to guess what you are supposed to do.
    Your relevant equations are incomplete too. Previous results (e.g. the ##A(\omega)## expression in the solution attempt seem to come out of the blue.
    If ##E\propto A^2\omega^2## then ##E(\omega) = 0.64 \, E_{\rm max} \ \Leftrightarrow\ A\omega = 0.8 (A\omega)_{\rm max}##, and not ##0.64 \, E = A_{\rm max}^2\omega^2## (unless I miss something -- in which case I would like to see intermediate steps...)

    Is that a start ?
     
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