Explain the following:

(a) Gyroscopic stabilization of sea vessels

(b) Effect of gyroscopic couple on the stability of an automobile negotiating a curve

(c) What are the principle of a gyroscope? Discuss the factors that effect the stability of an automobile while negotiating a curve.

(d) How is the magnitude and direction of the gyroscopic couple fixed?

(e) Describe the effect of the gyroscopic couple on pitching, rolling and steering of a ship with neat sketches indicating the direction of couple vector, spin vector and precession vector.

(f) Deduce and expression for the couple that is called into play in the case of a wheel rotating with uniform angular velocity in order to maintain a given rate of precession.