Simple harmonic motion - Springs

AI Thread Summary
The discussion revolves around understanding the forces in a system involving springs and strings, with a focus on simple harmonic motion (SHM). The original poster expresses uncertainty about the correct equations and signs of forces acting on two masses connected by springs. Participants highlight the lack of information in the problem, such as the elastic constant 'k' and the absence of gravitational forces. Clarifications are made regarding the need to identify the natural lengths of the springs and their compression or extension from the equilibrium position. Ultimately, the original poster reports successfully solving the problem after receiving input from others.
Jalo
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Homework Statement



I have trouble determining the system of forces in systems with strings like the following:
2qxuxy9.jpg


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.
 
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Hi Jalo! :smile:

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

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...
 
The criterion for SHM is that the restoring force be proportional to the displacement from the equilibrium postiion.
You have to the equilibrium configuration.
 
Last edited:
Infinitum said:
Hi Jalo! :smile:

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

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
 
Jalo said:
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??
 
Infinitum said:
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.
 

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