A uniform rod of length
is free to rotate in a vertical plane about a fixed horizontal axis through
. 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
Verified by ExpertsThe correct answer is:
A
When the rod rotates through an angle
, the centre of gravity falls through a distance
.
In
or
Decrease in potential energy
… (i)
The decrease in potential energy is equal to the kinetic energy of rotation.
… (ii)

From Eqs. (i) and (ii), we get

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