Answer confirmation-not an assignment question.

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Discussion Overview

The discussion revolves around determining the appropriate equation of motion based on a provided diagram involving springs. Participants are exploring the dynamics of a system influenced by these springs, with a focus on the correct formulation of the governing equations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant proposes an equation of motion: \(\ddot{x} = -k/x - kx/2\).
  • Another participant questions the meaning of variables such as "x" and "O," and whether the elements labeled "k" are indeed springs, expressing doubt about the correctness of the proposed equation.
  • A different participant notes that the springs are pulling in opposite directions and suggests checking the signs in the proposed equation.
  • Another contributor agrees that the signs may be correct but emphasizes that the validity of the equation depends on the specifics of the original problem, expressing concern over the presence of "x" in the denominator and suggesting that a mass should be included in the equation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correctness of the proposed equation. Multiple competing views are presented regarding the interpretation of the variables and the formulation of the equation of motion.

Contextual Notes

There are uncertainties regarding the definitions of the variables involved, the configuration of the springs, and the assumptions underlying the proposed equation. The original problem context is not fully clarified.

rsaad
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Hi! I have attached the picture. Can someone please tell me what equation of motion will be?
My guess is that it will be

[itex]\ddot{x}[/itex] = -k/x -kx/2
 

Attachments

  • spring.png
    spring.png
    3.6 KB · Views: 478
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What is x? What is "O"? What is fixed, what is not?
Those things labelled "k" are springs?
I don't think your answer is correct.
 
Note that the springs are pulling in opposite directions. Check your signs.
 
I think the signs are right, but it depends on the (unknown) original problem. However, an x in the denominator looks odd and I would expect to see a mass in the equation.
 

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