Two disks are on a pole. The top one has moment of inertia I_{1}=kg m^{2} and the bottom
one has moment of inertia I_{2}=kg m^{2}.

Initially, only the bottom one is spinning at _{0}=rad/s^{2}. Suddenly, the top
one is dropped onto the bottom one, and sticks to it without slipping. What is the final
angular speed of the two-disk combination?