Question 3 (15 points): The gyroscopic turn indicator shown on the right consists of a 1 kg flywheel with a 70.7 mm radius and 64.8 mm thickness. The centre of mass of the flywheel coincides with the intersection of axes AB and CD. The flywheel spins relative to the gimbal at a constant rate of 10,000 RPM. A couple M acts about the shaft CD in order to hold a constant angle between the gimbal and the horizontal plane. If the gyroscopic turn indicator rotates about the vertical axis at the constant rate of = 0.8 rad/s, determine the magnitude of M. A Z M X X Y