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Standing waves on a string

  1. Apr 12, 2014 #1
    1. The problem statement, all variables and given/known data
    This is a prelab question which I hope for some confirmation I'm thinking right.
    A vibrating string is vibrating in the fundamental mode. The question is to plot a graph with a succession of applied tensions T on the x-axis and the resultant length L of the fundamental vibration mode on the y-axis

    2. Relevant equations

    Formula I have is L^2 = T/4μƒ^2

    3. The attempt at a solution
    Im thinking that all its asking is to plot a function like y=mx+c where 1/4μƒ^2 is the gradient?

    Something of the sort, then ill go on to calculate the linear mass density (μ), do some calculations plot L^2 against T and find this gradient and find the frequency....

    Oh and sid
  2. jcsd
  3. Apr 12, 2014 #2

    Simon Bridge

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    Science Advisor
    Homework Helper

    You will notice from the formula that L(T) is not a straight line.
    To get a line you want to plot L^2 vs T ... you will expect the data to fall on a line like
    ##L^2 = mT + c## ... so you have that right. Use the data to find m and c, compare with the theory.

    You may want to anticipate the possibility (quite likely) that your data has a value of c that is non-zero.
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