Particle Dynamics and Newton's Laws

On a circular hoop with radius l there is a bead that can move freely without friction.
The hoop is rotated in a constant frequency \omega around the horizontal axis.
1. What are the forces that act on the bead in equilibrium.
2. Find the angle \theta in that state as a function of \omega.
3. What should be \omega in order to move the bead to the center of the hoop? can the bead move beyond the center of the hoop?