Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_107

6/107 The torsional spring at A has a stiffness \(k_T = 10 \text{ N}\cdot\text{m/rad}\) and is undeformed when the uniform 10-kg bars \(OA\) and \(AB\) are in the vertical position and overlap. If the system is released from rest with \(\theta = 60^\circ\), determine the angular velocity of wheel \(B\) when \(\theta = 30^\circ\). The 6-kg wheel at \(B\) has a centroidal radius of gyration of 50 mm and is observed to roll without slipping on the horizontal surface.