A circular disk of radius $r$ is confined to roll without slipping at $P$ and $Q$ as shown in the figure.

If the plates have velocities as shown, the magnitude of angular velocity of the disk is

1. $\dfrac{V}{r} \\$
2. $\dfrac{V}{2r} \\$
3. $\dfrac{2V}{3r} \\$
4. $\dfrac{3V}{2r}$