Body $1$ is a disk where the distance between the center and point D is $2$ ft$.$ It rotates around an axis passing through its center. Body $2$ is connected to body $1$ at point D$,$ on the edge of the disk, in a way that they can rotate relative to each other. The distance CD is $4$ ft$.$ Body $2$ is pivoted to body $3$ at point C$.$ Body $3$ has a vertical slot through which point B can slide via a small wheel that is part of body $4,$ where body $4$ is the slender bar AB with a length of $13$ ft$,$ as shown in the figure. Body $1$ rotates with a constant angular velocity $=2$ rad$/$s in a clockwise direction.

Knowing that body $3$ is moving in translation, find for the instant corresponding to the shown position:

The magnitude and direction of the angular velocity of bar AB$.(40\%)$

The magnitude and direction of the angular acceleration of bar AB$.(60\%)$