Discussion
A forward shift of the centre of gravity, all else equal, changes the short period how?
Answer: A
A forward shift lengthens the arm to the aerodynamic centre, making \( C_{m_\alpha} \) more negative, so the frequency rises. The real part of the root is set mainly by the damping derivatives and stays roughly where it was, so \( \zeta = \sigma/\omega_n \) falls. That is the mirror image of aft loading, and it is why a heavily forward-loaded aeroplane can feel quick but a little twitchy in pitch as well as heavy in stick force. Options claiming both rise, or both move the other way, miss the fact that the two quantities share one numerator.
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