A homogeneous rod $AB$ of length $L$ and mass $M$ is hinged at the centre $O$ in such a way that it can rotate freely in the vertical plane. The rod is initially in horizontal position. An insect $S$ of the same mass $M$ falls vertically with speed $V$ on point $C$, midway between the points $O$ and $B$. Immediately after falling, the insect starts to move towards $B$ such that the rod rotates with a constant angular velocity $\omega$.