A cylinder with rotational inertia I=1.78 kg⋅m^ 2 rotates clockwise about a vertical axis through its center with angular speed ω=5.71rad/s. A second cylinder with rotational inertia I=3.56 kg⋅m^ 2 rotates counterclockwise about the same axis with angular speed ω=5.53rad/s. If the cylinders couple so they have the same rotational axis what is the angular speed of the combination? What is the change in Kinetic Energy?