F=ma 2021 Problem 10

A uniform solid circular disk of mass m is on a flat, frictionless horizontal table. The center of mass of the disk is at rest and the disk is spinning with angular frequency omega { }_{0}. A stone, modeled as a point object also of mass m, is placed on the edge of the disk, with zero initial velocity relative to the table. A rim built into the disk constrains the stone to slide, with friction, along the disk’s edge. After the stone stops sliding with respect to the disk, what is the angular frequency of rotation of the disk and stone together?

Answer Choices
A. \omega_{0}
B. 2 \omega_{0} / 3
C. \omega_{0} / 2 \leftarrow CORRECT
D. \omega_{0} / 3
E. \omega_{0} / 4