$A$ uniform rod of mass $8m$ and length $6a$ is placed on a horizontal table. Two point masses $m$ and $2m$ are moving with speeds $2v$ and $v$ respectively,as shown in the figure. They strike the rod and stick to it after the collision. Find the angular velocity of the rod about an axis passing through its center of mass.

• A
  $\frac{v}{a}$
• B
  $\frac{v}{5a}$
• C
  $\frac{2v}{5a}$
• D
  $\frac{5v}{3a}$