Problem $2$: Two collars, $B$ and $C$ are sliding along rough $({}_k$ is given$)$ shafts AD and $AG$ respectively. Based on the information provided in Figure $2,$ determine the following:

Acceleration of $B$ with respect to $C($that is $a_{\frac{B}{C}})(10$ points$)$

Normal forces at $B(10$ points$)$

Normal forces at C $(10$ points$)$

$\backslash$table$[[$Acceleration of $A($upward$),4\frac{(m)}{s^2}$