Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_64

5/64 The rotation of the gear is controlled by the horizontal motion of end $A$ of the rack $AB$. If the piston rod has a constant velocity $\dot{x} = 300\text{ mm/s}$ during a short interval of motion, determine the angular velocity $\omega_0$ of the gear and the angular velocity $\omega_{AB}$ of $AB$ at the instant when $x = 800\text{ mm}$.