The slender bar AB$,2$ m long, rotates about a pin at B$,$ while its end A rests on the periphery of a disk that rotates without slipping on the horizontal surface, as shown in the figure. The disk has a radius of $1$ m and rotates with a constant angular velocity of $10$ rad$/$s counterclockwise. Determine for the shown position:The magnitude and direction of the angular velocity of the bar AB$.(40\%)$The magnitude and direction of the angular acceleration of the bar AB$.(60\%)$