Question

Which of the following relation is correct regarding the net gyroscope couple C acting on a four wheel vehicle?

(a) ωw.ωp (4 Iw ± G.Ie)^2

(b) ωw.ωp (4 Iw* G.Ie)

(c) ωw.ωp (4 Iw ± G.Ie)

(d) ωw^2(4 Iw ± G.Ie)

I got this question at a job interview.

This intriguing question comes from Stability of a Four Wheel drive Moving in a Curved Path in chapter Gyroscopic Couple and Precessional Motion of Machine Dynamics

Answer 1

The correct answer is (c) ωw.ωp (4 Iw ± G.Ie)

Easy explanation: When a four wheeled vehicle undergoes a motion along a curved path, the gyroscope couple acts on the vehicle. This effect depends on angular velocities of precession & wheels and moment of inertia of wheels and rotating parts of engine.