Problem $1(40$ points$)$

$1$

The bar shown is supported by a ball and socket joint at C $,$ smooth surface at A $,$ and the rope BD$.$ Point B $,$ which is located directly in the center of the beam, also includes an applied load $F.$

A$)$ Draw a FBD of the bar in the box provided $(15pts).$

B$)$ Solve for all unknown reaction loads $(25$pts$).($More space is provided on the next page$)$