Answer confirmation-not an assignment question.

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The discussion centers on identifying the correct equation of motion related to a physics problem involving springs. The initial guess for the equation is challenged, particularly regarding the signs and the presence of "x" in the denominator. Participants express confusion about the variables, specifically what "x" and "O" represent, and whether the springs are indeed pulling in opposite directions. There is an emphasis on the need for clarity on the original problem to accurately determine the equation. The conversation highlights the importance of correctly interpreting forces and variables in physics equations.
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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

\ddot{x} = -k/x -kx/2
 

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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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