# Conservation of Momentum

A small mass is thrown with a velocity of $$\SI[per-mode=symbol]{2}{\meter\per\second}$$ toward a rod, a distance of $$\ell/3$$ from its center. The rod is hinged at the centre.

You are given that the mass is $$\SI{6}{\kilo\gram}$$, and its length $$\ell = \SI{3}{\meter}$$ and the mass of the small object is $$\SI{3}{\kilo\gram}.$$ Upon collision, the small mass sticks to the rod.

Find the angular velocity of the rod after this impact (in $$\si[per-mode=symbol]{\radian\per\second}$$).

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