$2.$ Identify the dimensional stability and control derivatives responsible for the following effects:

a$)$ The Mach tuck effect occurs when an aircraft operates in the transonic regime. Small increases in airspeed tend to pitch the aircraft nose down, which then tends to cause the aircraft to dive and increase airspeed even more. Which stability derivative models this effect?

b$)$ Which dimensional stability derivative is primarily related to pitch stiffness?

c$)$ Which dimensional stability derivative is yaw damping?

d$)$ What control derivative represents the roll moment due to rudder deflection?

e$)$ In a "skid$-$to$-$turn" maneuver an aircraft can turn with zero roll attitude. Instead, the aircraft uses sideslip angle to generate the required force to turn the aircraft. Which stability derivative models this force?