Question

Tension in an elastic string

Answer 1

Natural length of a string is a, coefficient of flexibility is λ. I have found that tension in string is \[S=-\lambda \frac{(x-a)}{a}\] where \[(x-a)\]is extension. Is this formula or it has to be calculated somehow?

Answer 2

I think I should have ask this in physics :D

Answer 3

I think this equation is from some standard law (Hook's not sure though)

Answer 4

I think it's Hook's too, but I am not sure if I will have to give an explanation for how did I get it or I can consider it as a formula.

Answer 5

I think it is a standard formula you can directly use it (something like F=ma).
I use to use F=-kx .

Answer 6

I've just found that \[k=\frac{\lambda}{a}\] where k is stiffness and λ is coefficient of flexibility. That's how they got S :)