Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_95

5/95 The hydraulic cylinder produces a limited horizontal motion of point \( A \). If \( v_A = 4 \text{ m/s} \) when \( \theta = 45^\circ \), determine the magnitude of the velocity of \( D \) and the angular velocity \( \omega \) of \( ABD \) for this position. Given dimensions from the diagram: \( AB = 400 \text{ mm} \) \( BD = 200 \text{ mm} \) \( BO = 250 \text{ mm} \) Point \( O \) is a fixed pivot. Point \( A \) is constrained to horizontal motion.