A truck travels on rails round a curve of 100m radius at a speed of 90km/h, the truck has a total mass o 4ton and its centre of gravity is midway between the axles, 1.05m above the ground and midway between the rails. The four road wheels are 750mm in diameter. Each pair of wheels is driven by a motor rotating in the opposite direction to the wheels and at four times their speed. The moment of inertia of each pair of wheels is 12 kgm2 and of each motor shaft 4 kgm2. The rails lie on a horizontal plane and they are 1.45m apart. Determine:
a) The gyroscopic couple produced on each motor.
b) The load on each rail.