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Simple harmonic motion

  1. Apr 21, 2007 #1
    Hello all,

    I have completed a lab for simple harmonic motion, with the goal of finding the constants B, n, and p in the equation T=B*k^n*m^p, where k is the spring constant and m is the mass.

    I suppose this is more of a math question, because I already have two separate power regressions: one is y = 1.2787x^0.4742 (period [y] vs. mass [x]) and the other is y = 0.6854x^-0.4939 (period [y] vs. spring constant [x]).

    I know that I now have n and p (which are both close to the actual values), but I'm having trouble finding B. I tried setting the above equations equal (to find the intersection), and substituting the x-value into T, the y-value into both k and m, and the powers above into n and p. Obviously something is very incorrect because I get nowhere near 2pi for B.

    Any advice would be appreciated. Thanks in advance!
  2. jcsd
  3. Apr 21, 2007 #2


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    Gold Member

    From your rather inadequate description I suggest you can get a value of B from the slope of both graphs. In the first graph you have held the value of k constant, so the slope ( of the log plot ) is B*k^n.

    Are you making Lissajous figures ?
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