$[25$ points$]$

$6.5$ kg collar C can slide freely along the smooth rodAB. At a given instant, rod AB is rotating with an angular velocity of ${}^{}=2ra\frac{d}{s}$ and has an angular acceleration of $\frac{?}{\text{b}\text{a}\text{r}}()=2ra\frac{d}{s^2}.$ Determine the normal force of rod AB and the radial reaction of the end plate $B$ on the collar at this instant. Neglect the mass of the rod and the size of the collar.