A cylinder with rotational inertia I1 = 2.0 kg·m2 rotates clockwise about a vertical axis through its center with angular speed ω1 = 5.0 rad/s. A second cylinder with rotational inertia I2 = 1.0 kg·m2 rotates counterclockwise about the same axis with angular speed ω2 = 8.0 rad/s . If the cylinders couple so they have the same rotational axis what is the angular speed of the combination? What percentage of the original kinetic energy is lost to friction?