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

Proving the superposition of initial conditions gives superposition of motion

  • Thread starter mcah5
  • Start date
  • #1
38
0
I have a problem that says to prove the superposition of initial conditions gives superposition of corresponding motion for two coupled oscillators. My question is:

What do they mean by coupled oscillators? Do they mean coupled pendulums? Double LC circuits? If it's coupled pendulums are the pendulums the same mass? I know how to do the math for the specific types of coupled oscillators, but I don't think there is a general way to derive the motion of coupled oscillators without specifics about what type oscillator it is.
 

Answers and Replies

  • #2
Galileo
Science Advisor
Homework Helper
1,989
6
You should know the differential equation governing the motion of the system.
All you really require is that the DE's be linear.
 
  • #3
38
0
Edit: I can't use Latex =(

Ah, thank you
 
Last edited:

Related Threads for: Proving the superposition of initial conditions gives superposition of motion

  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
3
Views
854
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
0
Views
4K
  • Last Post
Replies
1
Views
2K
Top