Discussion
If the pitching moment derivative with angle of attack were reduced to zero while the other derivatives were unchanged, the short-period approximation would predict
Answer: C
With the stiffness term gone, the quadratic loses its constant term and factors into two real roots, one at the origin and one at the heave and pitch damping value. Physically the aeroplane has no preferred incidence to return to, so any disturbance in incidence simply subsides at the rate the lift and pitch damping allow, with no oscillation. An undamped oscillation would need the damping terms to vanish instead, which is the opposite case. A divergent oscillation needs negative damping. And the aeroplane certainly still moves; what it has lost is the tendency to come back.
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