# Oscillation of two masses connected to springs and a fixed point

 P: 1 Q: Two masses m are connected by identical springs of constants k and they lie on a perfectly smooth surface. The extremity of one spring is fixed on the wall, the other one is loose. Find the equations for the motion of the system. Find the frequencies of oscillations. 1. Relevant equations: F= m$\frac{(d2x)}/{(dt2)}$ F=kx 2. Attempt: Part 1: m$\frac{d2x}{dt2}$ = k(x2-x1)-kx1 m$\frac{d2x}{dt2}$ = k(x1-x2)-kx2 Part 2: x1=A1cosωt x2=A2cosωt and then substitute? Not sure if I even am getting anywhere with this.. Attached Thumbnails