Question #$3(10$ points$)$

A cable is attached to the frame structure at $E$ and passes around the $0\mathrm{.}8-$m$-$diameter frictionless pulley at A and then is attached to a $1000-N$ weight $W$ as shown in the figure.

a$)$ Determine the support reactions at pin $D$ and frictionless surface $G.$

b$)$ Draw the FBD $($Free Body Diagram$)$ for each member of the frame.

c$)$ Determine the components of the force at $B$ and the total force at $C.$