A Texas cockroach first rides at the center of a circular disk that rotates freely like merry-go-round without external torques. The cockroach walk out the edge of the disk, at radius R. Figure gives the angular speed ro of the cockroach - disk system during the walk. The scale on the w axis is set by wa = 5.0 rad/s and wb = 6.0 rad/s. When the cockroach is on the edge at radius R, what is the ratio of the bug's rotational inertia to that of the disk, both calculated about the rotationaxis?

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o (rad/s)