A uniform rod of length $'6L'$ and mass $'8 \,m'$ is pivoted at its centre $'C'$. Two masses $'m'$ and $'2m'$ with speed $2v$, $v$ as shown strikes the rod and stick to the rod. Initially the rod is at rest. Due to impact, if it rotates with angular velocity $'\omega'$ then $'\omega'$ will be