A thin uniform rod of length

Question:

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:

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

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

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

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

Correct Option: , 2

Solution:

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