Conservation of Angular Momentum Practice Test

A diver performs a somersault after jumping from a diving board. They initially leave the board with their body extended, then tuck into a compact shape, and finally extend their body again before entering the water. Neglecting air resistance, which of the following correctly describes the changes in their rotational inertia $$I$$ and angular momentum $$L$$ about their center of mass during this process?

A horizontal disk with rotational inertia $$I_0$$ is rotating freely with angular velocity $$\omega_0$$ about a vertical axis. A small piece of putty of mass $$m$$ is dropped vertically and sticks to the disk at a distance $$r$$ from the axis. What is the final angular velocity of the disk-putty system?