A gumball of mass \(m\) traveling with velocity \(v_0\) in the \(\hat{x}\) direction collides tangentially with a stationary hula-hoop of mass \(M\) of radius \(R\) (lying in the xy plane) and sticks. What is the angular frequency of the hoop and bead conglomerate (in **milliradian/s**) after the collision?

**Details and assumptions**

- The entire system is in a space that has no gravitational forces.
- \(M\) = 2
**kg** - \(m\) = 30
**g** - \(R\) = 0.2
**m** - \(v_0\) = 1
**m/s** - Express your answer to the nearest whole number

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