Justification for spring in series/parallel

  • Thread starter Thread starter RubinLicht
  • Start date Start date
  • Tags Tags
    Spring
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 2K views
RubinLicht
Messages
131
Reaction score
8

Homework Statement


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.

Homework Equations


F=-kx
Series: 1/k1+1/k2=1/Keq

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 that's left is series
 
Physics news on Phys.org
Took me a while, but i got it. thanks all.