To solve this problem it is necessary to apply the concepts related to the conservation of angular momentum. This can be expressed mathematically as a function of inertia and angular velocity, that is:
Where,
I = Moment of Inertia
= Angular Velocity
For the given object the moment of inertia is equivalent to
Considering that the moment of inertia varies according to distance, and that there are two of these without altering the mass we will finally have to
Our values are given as,
Replacing we have,
Therefore the angular speed after the catch slips is 0.2rad/s