Problem $18($Halliday Problem $10\mathrm{.}67)$

Figure $10-48$ shows a rigid assembly of a thin hoop $($of mass $m$ and radius $R=0\mathrm{.}150m)$ and a thin radial rod $($of mass $m$ and length $L=2\mathrm{.}00R).$ The assembly is upright, but if we give it a slight nudge, it will rotate around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in such a nudge is negligible, what would be the assembly's angular speed about the rotation axis when it passes through the upside$-$down $($inverted$)$ orientation?