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Simple harmonic motion and frequency

  1. Nov 2, 2007 #1
    1. The problem statement, all variables and given/known data
    Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true/false?
    True False Quadrupling the mass will halve the frequency.
    True False Doubling the spring constant will double the frequency.
    True False Tripling the amplitude will sextuple the frequency.
    True False Doubling the amplitude will not change the period.
    True False Doubling the amplitude will halve the frequency.



    2. Relevant equations

    f = (1/ [2pi/sqrt(k/m)])

    Vmax = A(2pi/T)

    Vmax = A(2pif)

    3. The attempt at a solution

    using simple numbers I got the answers in this order

    True
    False
    False
    False
    True

    My numbers work out, but I'm wrong...
    Any suggestions?
    Thanks
     
  2. jcsd
  3. Nov 2, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Does frequency depend on amplitude?
     
  4. Nov 2, 2007 #3
    Ok... So doubling the amplitude doesn't effect the frequency, but I still can't get this question right...

    I'm so confused
     
  5. Nov 2, 2007 #4

    Doc Al

    User Avatar

    Staff: Mentor

    Three of those questions refer to amplitude. Check each one.
     
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