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Vibrations and differential equations.

  1. Apr 9, 2013 #1
    1. The problem statement, all variables and given/known data

    Suppose the motion of a spring has natural frequency 1/2 and is undamped. If the weight attached is 32lb, write a differential equation describing the motion.


    2. Relevant equations

    my''+ky=F_ocosωt

    32y"+8y=?

    ω_o= (k/m)^.5

    3. The attempt at a solution

    → .5=(k/32)^.5 → k=8

    gamma=0

    32y"+8y=?


    My problem is that I don't know how to find F_o or ω. Is this question referring to that of a no external force case? Or am I missing some equation that will help me find this?
     
    Last edited by a moderator: Apr 10, 2013
  2. jcsd
  3. Apr 12, 2013 #2

    rock.freak667

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    Homework Helper

    The question is implying that there is no external forcing to F0 = 0. As for ω, they gave you the natural frequency f. How does this relate to the angular frequency ω?
     
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