Consider a system of 2 masses on a line connected by three springs with spring constants and . The system looks like
|- - -m - - -m- - - -|
where m indicates a mass, dash lines indicate a spring and the vertical lines indicate a wall. Take the origin of coordinates to be the first wall on the left. Let denote the position of the first mass and denote the position of the second mass. The distance between the walls is . The problem is to compute equilibrium position for the masses.
a) Write down the force on each mass.
b) Set the forces equal to zero
c) Solve the system of equations with Gaussian Elimination.
i arrived at this equation and i have no idea if i am on the right track