The Geneva wheel is a mechanism for producing intermittent rotation. Pin P in the integr...

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, θ = 45°. For a constant clockwise angular velocity ω₁ = 2 rad/s of wheel A, determine the corresponding counterclockwise angular velocity ω₂ of wheel C for θ = 20°. (Note that the motion during engagement is governed by the geometry of triangle O₁O₂P with changing θ.)