Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_45

5/45 The Geneva wheel is a mechanism for producing intermittent rotation. Pin $P$ in the integral unit of wheel $A$ and locking plate $B$ engages the radial slots in wheel $C$, thus turning wheel $C$ one-fourth of a revolution for each revolution of the pin. At the engagement position shown, $\theta = 45^\circ$. For a constant clockwise angular velocity $\omega_1 = 2 \text{ rad/s}$ of wheel $A$, determine the corresponding counterclockwise angular velocity $\omega_2$ of wheel $C$ for $\theta = 20^\circ$. (Note that the motion during engagement is governed by the geometry of triangle $O_1O_2P$ with changing $\theta$.)