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Justification for spring in series/parallel (solved)

  1. Dec 27, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the frequency of oscillation of mass m suspended by two springs having constants k1 and k2, in each of the configurations shown.

    my question isn't on how to solve the problem but rather why the constants add with reciprocal action for parallel. I was able to figure this out with just logic and confirmed it with the internet, but i would like a formal "proof", if you can call it that, for why it works.
    assume massless springs.
    2. Relevant equations
    F=-kx
    Series: 1/k1+1/k2=1/Keq

    3. The attempt at a solution
    nada, already solved the problem, just want justification. Thanks for the help

    EDIT: i am reading the proof on wikipedia, but it'll still take a while for me to get it as my physical intuition is still trying to catch up with the math. Parallel is easy, got that. all thats left is series
     
  2. jcsd
  3. Dec 27, 2015 #2
    Took me a while, but i got it. thanks all.
     
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