Free body diagrams for springs and dampers in torsion

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SUMMARY

The discussion centers on the correct representation of free body diagrams (FBD) for a spring-damper system in series. Participants debate whether the forces represented 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 consensus indicates that the blue box diagram accurately represents the system, as it adheres to Newton's third law, ensuring that the forces acting on the springs and dampers are equal and opposite.

PREREQUISITES
  • Understanding of free body diagrams (FBD)
  • Knowledge of Newton's laws of motion
  • Familiarity with spring-damper systems
  • Basic principles of mechanics and dynamics
NEXT STEPS
  • Study the principles of Newton's third law in mechanical systems
  • Learn how to construct free body diagrams for complex systems
  • Explore the behavior of spring-damper systems in series and parallel configurations
  • Investigate the mathematical modeling of dynamic systems using differential equations
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Students in mechanical engineering, physics enthusiasts, and professionals involved in system dynamics and mechanical design will benefit from this discussion.

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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
 
Last edited by a moderator:
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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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