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Frequency of oscillation

  1. Jun 12, 2015 #1
    1. The problem statement, all variables and given/known data
    0.54 kg mass hang vertically from a spring with k= 75 Nm. If the mass is displaced 3 cm vertically and allowed to oscillate, what is the frequency of oscillation?

    2. Relevant equations
    T= 2(pi) ((sqrt)(m/K))
    F= 1/T

    3. The attempt at a solution
    T= 2(pi) ((sqrt)(0.54/75))
    = 0.5331
    F= 1/0.5331
    = 1.9 Hz
    Now I know I didnt use the displacement, but where would I use it? This was a multiple choice question, and 1.9 Hz is an option.... I just dont know if its right
     
  2. jcsd
  3. Jun 12, 2015 #2

    RUber

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    I don't see any reason the initial displacement would affect the frequency of oscillation. Do you?
     
  4. Jun 12, 2015 #3
    Thats kinda what im asking...
    if the displacement were greater or smaller of the mass, would it change the frequency of oscillation? And if it does, how?
     
  5. Jun 13, 2015 #4
    Larger displacement mean larger force, larger acceleration and, finally, the same time. For this reason called 'harmonic'.
     
  6. Jun 14, 2015 #5

    rude man

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    No, unless Hooke's law were to no longer apply at large displacements, in which case you'd have a nonlinear problem on your hands and believe me you want nothing to do with that.
     
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