A disk of mass 5.25kg and radius 0.563m is rotating horizontally about a frictionless axle, with angular velocity 3.23 rad/s. Someone drops a thin hoop of mass 2.00kg and radius 0.110m such that it lands on the disk, but it is not dropped over the center of the disk. The hoop and disk spin as a single object with final angular velocity 2.70 rad/s. How far is the hoop’s center of mass from the axle? Treat the disk as a uniform disk.