What are the eigenvectors and natural frequencies for the system illustrated in Fig. 5? Note that the x and x' coordinates reflect relative motion of the mass, not absolute motion. The unstretched length of each of the three springs is k1 = 1000 N/m, k2 = 2000 N/m, k3 = 1000 N/m, m1 = 0.1 kg, m2 = 0.1 kg, m3 = 0.1 kg.
-1 + x
m3
M
k3
m
Fig. 5