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## Homework Statement

I don't want to write the whole question as it is very long and I just have one query.. Basically the question involves a particle attached to three different springs which have fixed end points. In the question the mass of the particle is m, and the other constants used throughout are k (stiffness of one of the springs), g, and l

_{0}which is the natural length of one of the springs. All the lengths in the question are given in terms of l

_{0}.

My question is this- my answer for the equation of motion doesn't contain the constant l

_{0}in the part that determines the amplitude, only g, m and k. I've checked over and over and I can't find a mistake but to me this seems impossible. The answer I have includes l

_{0}as the 'starting point' but the term involving cos does not depend on the length. Does this definetely mean I've made a mistake?

## Homework Equations

Hooke's Law, method for solving linear differential eq.

## The Attempt at a Solution

see above.