$3.$ Do $5\mathrm{.}61$ in Thomson$/$Dahleh text

$4.$ Continuing with the system of problem $5\mathrm{.}61$ for the case of m$0=2$ kg$,$ m$3=1$ kg$,$ L $=1$ m$,$ k$1=$ k$2=25$ N$/$m$,$ and k$3=25$ N$/$m$,$ find the mode shapes and normalize them with respect to the mass matrix. Treat the bar as a uniform slender rod to get its mass moment of intertia.