Simple harmonic motion - Springs

[Jalo]

Homework Statement

I have trouble determining the system of forces in systems with strings like the following:

Homework Equations

The Attempt at a Solution

My guess is it is:

x₁=L/3 x₂=2L/3

mass 1: -kx₁+k(x₂-x₁)=m₁a₁
mass 2: -k(x₂-x₁)+kx₁=m₂a₂

I'm not sure it is correct. Even if it is, anyone knows a good way to see the correct signs of the forces? I have some trouble identifying them...

Thanks ahead!
D.

 

[Infinitum]

Hi Jalo!

I believe the question lacks information. Your title says springs and the question states strings.

Alsos, there is nothing mentioned about the elastic constant 'k', nor about which forces do you require. If all the forces, it would have to include gravitational force too...

 

[azizlwl]

The criterion for SHM is that the restoring force be proportional to the displacement from the equilibrium postiion.
You have to the equilibrium configuration.

 

[Jalo]

Hi Jalo!

I believe the question lacks information. Your title says springs and the question states strings.

Alsos, there is nothing mentioned about the elastic constant 'k', nor about which forces do you require. If all the forces, it would have to include gravitational force too...

Constank k, no gravitational force, and just imagine it as springs. hope that helps :P

 

[Infinitum]

Constank k, no gravitational force, and just imagine it as springs. hope that helps :P

What is their natural length? By how much are they compressed/extended from mean position??

 

[Jalo]

What is their natural length? By how much are they compressed/extended from mean position??

The problem doesn't give any data other the one I wrote.
However I managed to solve the problem. Thanks to all who tried to help. :)

D.