Conservation of angular momentum

The conservation of angular momentum holds that the angular momentum just prior to a collision is the same as the angular momentum just after a collision.

Example

Imagine a rod of length l and mass M suspensed from one end vertically, and that a mass having velocity v and mass m collides with the other end and sticks to it. The maximum angle of displacement of the rod from the vertical axis can be calculated using the conservation of angular momentum:

$\mathbf {L_{i}} =\mathbf {L_{f}}$

$\mathbf {m} \times {v}\times {l}=\mathbf {I} \times {\omega }$