Two blocks, of masses \(m\) and \(M\), are connected by a single spring of forceconstant \(k\). The blocks are free to slide on a frictionless table. Beginning with the Lagrangian, find the oscillation frequency of the system in terms of \(k\) and the reduced mass \(\mu \equiv m M /(m+M)\). Show that for the special case \(M=m\), the frequency is what you would expect when the center of the spring remains at rest.