$(8$ points$)$ Difficulty $(4/5)$

$\backslash$table$[[$a$,$b$,$c$,$d$,$h$],[3,2,4$ in$,8$ in$,3\mathrm{.}4$ ft$]]$

The assembly shown has the dimensions given above. When a force of $F=190lb$ is applied, find the tension in the rope, and the force that body CDEG exerts on body ABC at point $C.$

Note: The distance AG is deliberately not provided.

Forces: $$

$T_{\text{r}\text{o}\text{p}\text{e}}=$

$F_C=$

$($Denote a rightward force with a positive value; a leftward force with a negative

value.$)$

be sure to include units with your answers