can some one please check I have this right?
each force in vector form is (N=normal force), W= Weight, H = spring force):
W=(W.i).i + (w.j).j = - ¦W¦sin(alpha)i + ¦W¦cos(alpha)j
H=-k(l-l0)s = -2k(x-l0)i (by hookes law)
To get the equilibrium I just made N+W+H = 0 and collected terms in i. I also replaced W by mg to get the equilibrium condition as shown