A gyroscope is processing about a vertical axis. Describe what happens to the precession angular speed if the following changes in the variables are made, with all other variables remaining the same:
(a) The angular speed of the spinning flywheels doubled;
(b) The total weight is doubled;
(c) The moment of inertia about the axis of the spinning flywheel is doubled;
(d) The distance from the pivot to the center of gravity is doubled.
(e) What happens if all four of the variables in parts (a) through (d) are doubled?