Gyroscopes

The rotor of a gyroscope is a homogeneous cylinder 120m in diameter and has mass of 160kg. It is mounted horizontally midway between bearings AB 200mm apart as shown in figure Q15. The rotor is turning at N=400rev/min in a clockwise direction when viewed from the rear. The assembly is turning at omega(y)=4rads/s about a vertical axis in a clockwise direction.Determine 1.1 4the bearing reaction on the rotor shaft 1.2the reactions when the front A also falls vertically downwards at omega(z)= 5 rads/s