Problem

Crank $DE,$ pin$-$connected to gear $G$ at $D,$ has a clockwise angular velocity of $4ra\frac{d}{s}$ at the instant depicted when $DE$ is horizontal. Pins A and $E$ are fixed, while the link ABC is pin$-$connected to gear $G$ at point $B$ and pin$-$connected to gear $F$ at point $C.$ Find:

a$)$ the angular velocity of gear $F$;

b$)$ the angular velocity of link ABC;