A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal axis through B. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle 
, its angular velocity 
is given by
Text Solution
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When the rod rotates through angle 
, the fall h of centre of gravity is given by 
or 
in potential energy
Now, KE of rotation 
(because rod is rotating about an axis passing through its one end)
According to law of conservation of energy, decrease in potential energy will be equal to gain in kinetic energy.
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