Mechancial Spring, Transfer question, not quite adding up

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The discussion centers on the conversion of the spring force equation F(s) = KX(s) into a transfer function format. The correct transformation is achieved by manipulating the equation to yield X/F(s) = 1/K. The confusion arises from algebraic manipulation, where the user mistakenly arrives at it = -k/1 instead of the correct 1/K. The conversation highlights the importance of mastering basic algebra to effectively work with transfer functions in mechanical systems.

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Hello everyone, below I have placed an image of the question, I am quite happy with
the theory. My issue is how it goes from being F(s) = KX(s) to X/F(s) = 1/K

I know to change this into a transfer function it is output (X) over input (F).
However when ever I try i always end up with it = -k/1 ? not 1/K.

This is a very simple problem I know. Would appreciate any help, cheers


[PLAIN]http://img849.imageshack.us/img849/9357/springr.png
 

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I think you are just having a problem with the algebra. If
F = kx, divide both sides by F, thus
1 = kx/F. Now divide both sides by k.

What do you get?
 
indeed i was thank you for that...its stupid i am happy with laplace, transfer functions, matrix, itegration, differentiation but simple algebra is my downfall!
 

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