GATE_AE_2027_MOCK_01_Q50
GATE 2027 Aerospace Engineering All-India Master Mock 01 (Foundation & Standard Core Calibration)
MSQ · 2 Marks
Flight Mechanics & Space Dynamics • Dynamic Stability • Dutch Roll, Spiral & Roll Subsidence Modes
Which of the following geometric and aerodynamic parameters enhance the lateral-directional Dutch roll damping ratio $\zeta_{dr}$ of an aircraft?
(A) Increasing vertical tail size (larger vertical tail volume fraction $V_v$)
(B) Installing a yaw damper integrated into the rudder flight control system
(C) Increasing wing dihedral angle excessively while keeping vertical tail small
(D) Sweeping the wings sharply forward without a vertical fin
Answer Key:
A,B
Step-by-Step Verified Solution
### Solution: Dutch roll is damped primarily by weathercock stability derivative $C_{n,\beta}$ and yaw damping derivative $C_{n,r}$, both provided by a large vertical tail (A) and active yaw dampers (B). Excessive dihedral increases roll-due-to-sideslip $C_{l,\beta}$, which degrades Dutch roll damping (C and D are false). Correct: A, B.