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Homework Help: Superposition: Adding two waves together -- amplitude help

  1. Sep 12, 2015 #1
    1. The problem statement, all variables and given/known data
    Two traveling waves are generated on the same taut string. Individually, the two traveling waves can be described by the following two equations:
    If both of the above traveling waves exist on the string at the same time, what is the maximum positive displacement that a point on the string can ever have?

    3. At first I thought this problem was pretty straighfoward with just adding the two waves together. However my plan was to add them such that the outcome would be something like 2Asin(a+b)/2 * cos(a-b)/2
    however the waves in the problem have diffrent amplitudes and im not sure had to add them now. Any help would be appreciated, thanks!
  2. jcsd
  3. Sep 12, 2015 #2


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    Do you need to find a complicated answer using your k and phi terms?
    Is it not reasonable to assume that regardless of the terms, there is a max that the sine function will take?
  4. Sep 12, 2015 #3


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    Are the two waves travelling in the same, or in opposite directions?

    Can a pair of peaks - one from each wave - ever coincide?
  5. Apr 18, 2018 #4
    add the two amplitudes to find the max superposition
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