A thin uniform rod oflength $l$ 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 thin uniform rod oflength $l$ 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:
- [AIEEE 2009]
- 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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- [JEE MAIN 2019]
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