Problem 2: The flywheel of the gyroscope rotates about its own axis at w = 6000 rev/min. At the instant when 0 = 120, the inner gimbal support is rotating relative to the outer gimbal at = 6 rad/s and = -90 rad/s. The corresponding rotation of the outer gimbal about the horizontal axis is w = 10 rad/s, = 100 rad/s2. Determine the angular velocity and angular acceleration of the flywheel at this instant. w