Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_135

5/135 The system of Prob. 5/134 is modified in that $OC$ is now a slotted member which accommodates the pin $A$ attached to the sector. If bar $OC$ rotates with a clockwise angular velocity $\omega_{OC} = 2 \text{ rad/s}$ and a counterclockwise angular acceleration $\alpha_{OC} = 4 \text{ rad/s}^2$, determine the angular velocity $\omega$ and the angular acceleration $\alpha$ of the sector. (Note: From Prob. 5/134, the distance $OB = 400 \text{ mm}$, and at the instant represented, $OA = 500 \text{ mm}$ and the angle $\angle AOB = 30^\circ$.)