A tower crane anti-collision system contains a gyroscope to allow the system to maintain a vertical plane. The gyroscope is mounted on gimbals that allow it to pivot in the x, y and z axes. The vertical distance from the centre of rotation of the gimbal and the centre of mass of the gyroscope is 50mm.

The gyroscope consists of a plain disc of diameter 80mm and mass 0.75kg, which rotates at 500 RPM.

The gyroscope is rotated 15 degrees from the vertical axis by the motion of the crane. Determine the reaction torque required to maintain the gyroscope in this position and speed of procession.