An ice skater spins with $I = 4$ kg·$m^{2}$ at $\omega = 6$ rad/s. She pulls arms in to $I = 2$ kg·$m^{2}$. Her new kinetic energy relative to initial KE:

A body of mass m moves with velocity v at a distance d from a fixed point. Its angular momentum about that point (if the velocity is perpendicular to the position vector) is:

An ice skater with $I_1 = 10$ kg·$m^{2}$ rotating at $\omega_1 = 2$ rad/s pulls arms in to $I_2 = 5$ kg·$m^{2}$. The new $\omega_2$ is:

The total kinetic energy of a body of mass m rolling without slipping with CM velocity $v$ and $K^2/R^2 = \beta$ is:

A body of moment of inertia 3 kg·$m^{2}$ rotates at 4 rad/s. A second body of moment of inertia 1 kg·$m^{2}$ (initially at rest) is suddenly brought to the same axis and coupled to it. The final angular velocity is: