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

Springs in series and parallel

  • Thread starter timeheist
  • Start date
  • #1
2
0

Homework Statement



I'm not so sure about the following:

You have 3 set-ups, using identical springs of the same length and stiffness. In the first you have a single spring with mass m attached to it, producing extension x. In the second you have identical springs in series, attached end to end and then with mass m attached to the bottom. In the third you have two identical springs in parallel, sharing mass m load.

What would be the extension produced in each set-up?

Homework Equations



f= -kx

The Attempt at a Solution



In the third case with the springs in parallel, since the whole thing is in equilibrium and assuming the length of the strings attaching the springs to the mass are the same, would the weight acting on them be halved, so the extension produced on each spring be x/2?

With the springs in series, I'm really not sure what to think. Not sure whether to treat the springs as one franken-spring, or think of spring 1 and spring 2.

Thanks for any help
 

Answers and Replies

  • #2
td21
Gold Member
178
8
I suggest you try google: "equivalent spring constant" as a starting point. This may be helpful. Your equation is correct and the answer should depend on the value of k.
 

Related Threads on Springs in series and parallel

  • Last Post
Replies
3
Views
854
Replies
9
Views
71K
  • Last Post
Replies
10
Views
3K
  • Last Post
Replies
3
Views
149
Replies
4
Views
20K
Replies
1
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
12K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
9
Views
686
Top