One end of a rod of length $L=1 \,m$ is fixed to a point on the circumference of a wheel of radius $R=1 / \sqrt{3} \,m$. The other end is sliding freely along a straight channel passing through the centre $O$ of the wheel as shown in the figure below. The wheel is rotating with a constant angular velocity $\omega$ about $O$. The speed of the sliding end $P$, when $\theta=60^{\circ}$ is

210411-q

  • [KVPY 2017]
  • A

    $\frac{2 \omega}{3}$

  • B

    $\frac{\omega}{3}$

  • C

    $\frac{2 \omega}{\sqrt{3}}$

  • D

    $\frac{\omega}{\sqrt{3}}$

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