Understanding Parallel Springs & the Equal Extension Assumption"

  • Thread starter Thread starter andyrk
  • Start date Start date
  • Tags Tags
    Parallel Springs
Click For Summary

Homework Help Overview

The discussion revolves around the concept of parallel springs and the assumption that they extend equally when subjected to a force. Participants are exploring the reasoning behind the effective spring constant formula, keff = k1 + k2, in the context of spring mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the rationale behind the assumption of equal extension in parallel springs. They discuss scenarios involving blocks connected by springs and the implications of equal stretching on the derivation of the effective spring constant.

Discussion Status

The discussion is actively exploring the reasoning behind the equal extension assumption. Various perspectives are being shared, with participants providing examples and questioning the validity of the assumption in different contexts.

Contextual Notes

There is an underlying assumption that the blocks are pulled evenly, which is being examined for its validity in the context of the problem. No explicit consensus has been reached regarding the necessity of this assumption.

andyrk
Messages
658
Reaction score
5
When springs in parallel are replaced by a new spring of a new effective spring constant, for the proof of this, i.e
keff=k1+k2

Why do we assume the extension in the springs to be equal?
 
Physics news on Phys.org
If you imagine two adjacent blocks being held together by two springs, if you stretch the blocks apart, the springs stretch equally.
 
In the attachment, why is the extension of the springs same?
 

Attachments

  • Springs in Parallel.png
    Springs in Parallel.png
    3.7 KB · Views: 433
For the sake of the derivation, you assume that the little block is pulled evenly so that both springs are extended the same amount.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
Replies
29
Views
3K
Replies
20
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K