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 l0 which is the natural length of one of the springs. All the lengths in the question are given in terms of l0.
My question is this- my answer for the equation of motion doesn't contain the constant l0 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 l0 as the 'starting point' but the term involving cos does not depend on the length. Does this definetely mean I've made a mistake?
Hooke's Law, method for solving linear differential eq.
The Attempt at a Solution