In the mechanism shown, crank AB rotates with an angular velocity of $10$ rad$/$s in a counterclockwise direction and has zero angular acceleration. The wheel with center D rotates without slipping. Point T$,$ where the wheel makes contact with the ground, is at the same height as joint A$.$ Points C and D are also at the same level at the instant shown, where $=60.$

For the instant shown, determine:

a$)$ The angle that bar CB makes with the horizontal. $(5\%)$

b$)$ The magnitude and direction of the angular velocities of bar BC and the wheel. $(35\%)$

c$)$ The magnitude and direction of the angular accelerations of bar BC and the wheel. $(60\%)$

Dimensions in millimeters.