GATE_AE_2027_MOCK_02_Q23 GATE 2027 Aerospace Engineering All-India Master Mock 02 (Compressible Aerodynamics & High-Speed Propulsion) MCQ · 1 Mark
Flight Mechanics & Space Dynamics • Static Stability & Control • Longitudinal Static Stability & Neutral Point

For an aircraft with a conventional aft tail, shifting the center of gravity ($X_{cg}$) aftward towards the aerodynamic center of the wing-body combination:

(A) Increases static longitudinal stability margin
(B) Decreases static longitudinal stability margin
(C) Has no effect on static margin
(D) Inverts directional stability
Answer Key:
B

Step-by-Step Verified Solution

### Solution: Static margin is defined as $\frac{X_{np} - X_{cg}}{\bar{c}}$. Moving $X_{cg}$ aft (closer to or behind $X_{np}$) decreases the static margin. Correct: B.
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