Normal Modes, Rod on a string problem

[benij_chaos]

I Have a question that is bugging me because I can't get the answer out here's the question:

A uniform rod of length a hangs vertically on the end of an inelastic string of length a, the string being attached to the upper end of the rod. What are the frequencies of the normal modes of oscillation in the vertical plane.

I Have tried treating it as two point masses and varing the moment of inertia but that doesn't seem to work, but I am not suprised by this.

Any help would be amazing thanks.

 

[quantumdude]

Are you talking about transverse oscillations that propagate through the string and the rod?