• Support PF! Buy your school textbooks, materials and every day products Here!

Justification for spring in series/parallel (solved)

  • Thread starter RubinLicht
  • Start date
  • #1
132
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 thats left is series
 

Answers and Replies

  • #2
132
8
Took me a while, but i got it. thanks all.
 

Related Threads on Justification for spring in series/parallel (solved)

  • Last Post
Replies
10
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
855
  • Last Post
Replies
3
Views
149
Replies
4
Views
20K
Replies
9
Views
71K
  • Last Post
Replies
1
Views
133
  • Last Post
Replies
2
Views
32K
Replies
23
Views
2K
  • Last Post
Replies
3
Views
827
Top