jee-main 2020 Q22

jee-main · India · session2_05sep_shift2 Impulse and momentum (advanced)
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 mass 0.1 kg moving in a straight line with velocity $80\,\mathrm{m\,s^{-1}}$ hits the rod at its bottom most point and sticks to it (see figure). The angular speed (in $\mathrm{rad\,s^{-1}}$) of the rod immediately after the collision will be $\_\_\_\_$
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 mass 0.1 kg moving in a straight line with velocity $80\,\mathrm{m\,s^{-1}}$ hits the rod at its bottom most point and sticks to it (see figure). The angular speed (in $\mathrm{rad\,s^{-1}}$) of the rod immediately after the collision will be $\_\_\_\_$