Discussion
Which statement about the relationship between static directional stability and the Dutch roll is correct?
Answer: A
Weathercock stability is the stiffness term in the Dutch roll, so it sets the frequency through \( \omega_n \approx \sqrt{N_\beta} \). Damping comes from the rate derivatives instead, which is why a directionally stiff aeroplane can still have an objectionable Dutch roll. The two are plainly related, so the third option fails. And a negative yawing moment with sideslip would mean directional instability and a divergence in yaw, not a well-behaved oscillation, so the last option inverts the criterion.
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