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Wave Superposition

  1. Nov 13, 2009 #1
    1. The problem statement, all variables and given/known data
    Two waves are produced on a string with length of 1m. Wavelength of one is .5m Wavelength of the other is .2m. Amplitude and velocity are the same.
    Show that 2Asin(7pi(x + vt)) cos(3pi(x + vt)).
    At t=0 what locations are the max/min displacement at?

    2. Relevant equations



    3. The attempt at a solution
    I can solve the first part no problem. We have Eq we needed to show. Then I take z'(x) and have 2pi*A(2cos(4pi*x)+5cos(10pi*x)) and = 0 to get crit points.. This is where I am stuck. My calculator is unable to compute the graph at such small y apparently. I was unfortunately unable to find anything on the internet on how to solve this. Any help would be greatly appreciated.
     
  2. jcsd
  3. Nov 13, 2009 #2
    So ya I fixed my calculator, problem solved ><
     
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