Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_162

*5/162 A constant torque M exceeds the moment about O due to the force F on the plunger, and an angular acceleration \(\ddot{\theta} = 100(1 - \cos\theta)\) rad/s\(^2\) results. If the crank OA is released from rest at B, where \(\theta = 30^\circ\), and strikes the stop at C, where \(\theta = 150^\circ\), plot the angular velocity \(\dot{\theta}\) as a function of \(\theta\) and find the time t for the crank to rotate from \(\theta = 90^\circ\) to \(\theta = 150^\circ\).