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Assertion (A): Sideslip feedback to the rudder raises the Dutch roll frequency rather than its damping.

Reason (R): A moment proportional to sideslip acts as directional stiffness, which is what sets the frequency.

Select the correct answer from the options below.

  • A.Both A and R are true, but R is not the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, and R is the correct explanation of A

Answer: D

Both are true and the reason explains the assertion. Feedback proportional to a displacement adds stiffness; feedback proportional to a rate adds damping. So sideslip to the rudder behaves like a bigger fin and raises \( \omega_n \), while yaw rate to the rudder behaves like more \( N_r \) and raises \( \zeta \). The same distinction runs through the longitudinal case, where incidence feedback adds pitch stiffness and pitch rate feedback adds pitch damping, and it is the quickest way to reason about any augmentation scheme.

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