question_answer

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                         [AIEEE 2009]

A)   \[\frac{1}{3}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\]          

B)        \[\frac{1}{6}\frac{\ell \omega }{g}\]     

C)        \[\frac{1}{2}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\]          

D)        \[\frac{1}{6}\frac{{{\ell }^{2}}{{\omega }^{2}}}{g}\]

Correct Answer: D

Solution :

[d]