Discussion
For lateral stability the rolling moment derivative with sideslip must be
Answer: B
Correct answer: Negative, so that a right sideslip rolls the aeroplane left
Lateral static stability requires a restoring rolling moment, so \( C_{l\beta} \) must be negative: a sideslip to the right must produce a rolling moment to the left, raising the wing the aeroplane is slipping towards.
The sign convention is what makes the derivative negative rather than positive, and the quantity is usually called the dihedral effect after its principal source. It is independent of \( C_{n\beta} \), the directional derivative, though the balance between the two decides whether the aeroplane's spiral and Dutch roll modes are well behaved.
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