1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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:
    UU8Nt9N.png
    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

    RUber

    User Avatar
    Homework Helper

    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

    andrewkirk

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

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

    Can a pair of peaks - one from each wave - ever coincide?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Superposition: Adding two waves together amplitude help
  1. Adding two plane waves (Replies: 11)

Loading...