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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} $
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