1. The problem statement, all variables and given/known data Two horizontal frictionless rails make an angle θ with eachother. Each rail has a bead of mass m on it and the beads are connected by a spring with spring constant k and relaxed length=zero.Assume that one of the rails is positioned a tiny distance above the other so that the beads can pass freely though the crossing. Find the Normal Modes. 2. Relevant equations the only force involved is the spring force so: Fs=-k(Δx)=ma where Δx=x1sin(θ/2)+x2sin(θ/2) 3. The attempt at a solution so for each bead (x1,x2): a1+(k/m)(x1sin(θ/2)+x2sin(θ/2))=0 a2-(k/m)(x1sin(θ/2)+x2sin(θ/2))=0 I guess x1=Ae(iwt) and x2=Be(iwt) and get this: -Aw^2 +(ksin(θ/2)/m)(A+B)=0 -Bw^2 -(ksin(θ/2)/m)(A+B)=0 Did I set up the equation incorrectly? Finding Normal Modes generally confuses me and this is about as far as I can get, help appreciated!