Mathematics behind Hooke's law

  • Thread starter eseefreak
  • Start date
  • #1
9
0
I'm trying to understand the math behind Hooke's law and work done by a spring. I'm really looking for clarity. I am trying to understand why after integrating the equation I get three different results. I understand that each formula is specific to a problem but why does this work mathematically? I attached an image of the three formulas together.

Thank you. Much appreciated :smile:
 

Attachments

  • image.jpg
    image.jpg
    15.7 KB · Views: 348

Answers and Replies

  • #2
nasu
Gold Member
3,776
433
I think they are a little confusing (or confused).
What they call "specific" is actually the general case, the work done by the elastic force between any two arbitrary positions. The first expression is just what you get from the general one, for the particular case of initial position xf=0 and xi=x_max.
 

Related Threads on Mathematics behind Hooke's law

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
Top