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Superposition of SHM

  1. Jul 18, 2015 #1
    Why do we simply add the equations of SHM in case the two SHMs are superimposing?
     
  2. jcsd
  3. Jul 18, 2015 #2

    Nugatory

    User Avatar

    Staff: Mentor

    Are you familiar with the differential equation that describes a system undergoing simple harmonic motion, ##x''=-kx##? If ##x=A(t)## and ##x=B(t)## are both solutions of that differential equation, then ##x(t)=A(t)+B(t)## is also a solution.
     
  4. Jul 18, 2015 #3
    Because the differential equation is linear.

    Chet
     
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