A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of…

A thin rod of mass $\displaystyle 0.9$ kg and length $\displaystyle 1$ m is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of move $\displaystyle 0.1$ kg moving in a straight line with velocity $\displaystyle 80 \mathrm{~m} / \mathrm{s}$ hits the rod at its bottom most point and sticks to it (see figure). The angular speed (in rad/s) of the rod immediately after the collision will be \_\_\_\_.