Figure \( 10-70 \) shows a rigid assembly of a thin hoop (of mass \( m \) and radius \( R=0.150 ...

Figure \( 10-70 \) shows a rigid
assembly of a thin hoop
(of mass \( m \) and radius
\( R=0.150 \mathrm{~m} \) ) and a thin
radial rod (of mass \( m \) and
length \( L=2.00 R \) ). The
assembly is upright, but if we
give it a slight nudge, it will
rotate around a horizontal Figure 10 - 70
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?