Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_65

5/65 The elements of a simplified clam-shell bucket for a dredge are shown. The cable which opens and closes the bucket passes through the block at $O$. With $O$ as a fixed point, determine the angular velocity $\omega$ of the bucket jaws when $\theta = 45^\circ$ as they are closing. The upward velocity of the control cable is $0.5\text{ m/s}$ as it passes through the block.