GATE_AE_2027_MOCK_02_Q49
GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion)
MCQ · 2 Marks
Flight Mechanics & Space Dynamics • Static Stability & Control • Neutral Point & Elevator Hinge Moments
The stick-fixed neutral point $X_{np}$ of an aircraft is located at $0.42\bar{c}$. If the aircraft center of gravity is located at $X_{cg} = 0.30\bar{c}$, what is the stick-fixed static margin?
(A) $+12\%\bar{c}$ (Statically stable)
(B) $-12\%\bar{c}$ (Statically unstable)
(C) $+30\%\bar{c}$ (Statically stable)
(D) $0\%\bar{c}$ (Neutrally stable)
Answer Key:
A
Step-by-Step Verified Solution
### Solution: Static margin $= \frac{X_{np} - X_{cg}}{\bar{c}} = 0.42 - 0.30 = +0.12 = +12\%\bar{c}$. Positive static margin indicates static stability. Correct: A.