Free body diagrams for springs and dampers in torsion

AI Thread Summary
The discussion centers on the correct free body diagram (FBD) representation for a spring/damper system in series. Participants debate whether the forces in the red box diagram qualify as "equal and opposite forces" or if they require corresponding forces as depicted in the blue box diagram. The focus is on understanding the relationship between the spring constant (k) and damping coefficient (c) forces in the context of the series configuration. Clarification is sought on the application of Newton's third law in this scenario. The resolution of this debate is crucial for accurately analyzing the dynamics of the system.
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Homework Statement



I have been having a little discussion with a friend. We both know that for a spring/damper system in parallel like shown below, the associated free body diagram is correct.

[PLAIN]http://img337.imageshack.us/img337/2023/para0.jpg

But when it comes to the same system in series, we have different opinions on what the FBD should look like.

Is the FBD in the blue box or red box correct?
[PLAIN]http://img819.imageshack.us/img819/4028/series0.jpg
 
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the point of discussion here, is whether the k and c forces in the red box diagram qualify as "equal and opposite forces" or whether the k/c force need a corresponding k/c force to be equal and opposite as shown in the blue box diagram.
 

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