A thin uniform rod of length $l$ and mass $m$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $\omega $. Its centre of mass rises to a maximum height of:

  • A

    $\frac{1}{3}\frac{{{l^2}{\omega ^2}}}{g}$

  • B

    $\frac{1}{6}\frac{{l\omega }}{g}$

  • C

    $\frac{1}{2}\frac{{{l^2}{\omega ^2}}}{g}$

  • D

    $\frac{1}{6}\frac{{{l^2}{\omega ^2}}}{g}$

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