Are these free-body diagrams correct (mass-spring-damper system)?

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Homework Help Overview

The discussion revolves around the formulation of equations for a mass-spring-damper system, specifically focusing on the correctness of free-body diagrams and the resulting second-order ordinary differential equations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to verify the correctness of their equations and diagrams. Some participants question the clarity of the original poster's doubts and encourage them to identify specific areas of uncertainty.

Discussion Status

The discussion is ongoing, with participants providing prompts for deeper reflection on the original poster's confidence in their work. There is a suggestion regarding the potential irrelevance of a specific component in the diagram, indicating a direction for further exploration.

Contextual Notes

Participants are navigating the implications of the diagrams and equations presented, with some uncertainty about the physical setup and assumptions involved in the problem.

kal854
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Problem: Write the equations as a set of two, second-order ordinary differential equations.

2d5a81.jpg



My attempt…does it look correct? Thanks in advance!

dz8m0n.jpg
 
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Where's your doubt ?
 
BvU said:
Where's your doubt ?

What do you mean?
 
You post a picture of the question and you post a picture of your answer. Your question is: does it look correct?
Well, what if it does? Which parts are you confident about, which parts are somewhat less certain in your opinion?
 
Bedtime for me, but to help you on your way: perhaps the x3 isn't really there...: the wall on the right looks pretty solid.
 

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