A horizontal platform in the shape of a circular disk rotates freely in a horizontal plane about africtionless vertical axle. The platform has a mass M $=200$ kg and a diameter D$=10$ m$.$ A girl whosemass is m$=66$ kg walks from the center towards the rim of the disk. If the initial angular velocity of the system is $33$ rad$/$s when the girl is at the center. What is the final angular velocity $($w;$)[$in rad$/$s$]$ as she reaches the rim?