The text is unclear and contains several errors. It seems to be discussing rotation and a student rotating with an angular speed of 0.74 rad/s. The moment of inertia of the student plus something else is assumed to be constant. The student pulls a dumbbell inward horizontally to a position 0.30 m from the rotation axis. There is a mention of finding the speed of the student and the force applied when pulling the dumbbell inward.