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Assertion (A): A stick-free aeroplane has more longitudinal degrees of freedom than the same aeroplane with the controls held fixed.

Reason (R): Releasing the control column allows the elevator to float in response to its own hinge moment.

Select the correct answer from the options below.

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

Answer: C

Both statements are true and the reason is the mechanism. With the column released the elevator becomes a body free to rotate about its hinge, driven by the hinge moment, so the elevator deflection becomes a state of the system and the characteristic equation gains order. The consequence is practical rather than academic: the stick-free short period can be less well damped than the stick-fixed one, and the elevator's own float can couple with the aeroplane's pitching. This is why handling requirements and flight tests are specified separately for the stick-fixed and stick-free cases.

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