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Proportionality between Frequency and Mass

  1. Oct 25, 2009 #1
    1. The problem statement, all variables and given/known data

    There was an investigation on how mass affected frequency and we had to plot this relationship.

    2. Relevant equations

    3. The attempt at a solution

    I plotted frequency as the y-axis and mass as the x-axis. I got this weird parabolic shape opening upwards and I'm not quite sure if this is right at all. If someone could tell me the proportionality between these 2 factors, that'd be great. thanks
  2. jcsd
  3. Oct 25, 2009 #2


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    Homework Helper

    Welcome to PF, HeavyGuy.
    What was the apparatus?
    If it was a spring, you could look up a spring formula relating f and m.
    Likewise if it was a pendulum, or whatever.
    Perhaps that is making it too easy. You might want to guess what the relationship is. Parabolic certainly suggests a square or a square root. Say you think the formula is f = k*m². Then you compute m² for each data point and plot f vs m². If your formula is correct, you'll get a straight line and its slope will be the k.
  4. Oct 25, 2009 #3
    thanks for the reply. there was a mass attached to a mass and it was swung in a horizontal circular motion above the head. ill try to plot m^2 right now.
  5. Oct 25, 2009 #4


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    I forgot the possibility that the frequency decreases as the mass increases. If you have this kind of thing going on, then you need to invert something, for example try f vs 1/m².
  6. Oct 25, 2009 #5
    thanks a lot for your help. that is correct :)
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