Flight Mechanics & Space Dynamics 36 Official Questions ★ 4.9/5 Rating (1,400+ Aspirants)

Static Stability & Control

All official GATE Aerospace Engineering questions asked from Static Stability & Control spanning 2007 through 2026 with step-by-step mathematical derivations.

⚡ Core Formulas & Exam Relations (Static Stability & Control)

  • Weightage Band: High-Yield core area contributing recurring 1-mark and 2-mark numericals in GATE AE.
  • Scoring Strategy: Focus on boundary conditions, sign conventions in governing differential equations, and dimensionless coefficients.
  • Exam Practice: Solve with the virtual calculator without external tables to master exam timing.
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Official PYQ Directory (36 Solved Questions)

GATE AE 2025 • Q22 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

A general aviation airplane is in steady and level flight. The airplane is prone to adverse yaw. Which one of the following options best describes the deflections of aileron and rudder to achieve a coordinated right turn?

Official Key: B ➔
GATE AE 2025 • Q25 MCQ • 1M

Subtopic: Longitudinal Static Stability & Neutral Point

To achieve longitudinal static stability of a general aviation airplane, which one of the following conditions should be satisfied?

Official Key: B ➔
GATE AE 2024 • Q27 MSQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

In a conventional configuration airplane, the rudder can be used:

Official Key: A, B, C ➔
GATE AE 2024 • Q48 MSQ • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

For an airplane having directional / weathercock static stability, which of the following options is/are correct?

Official Key: A, B, C ➔
GATE AE 2023 • Q19 MCQ • 1M

Subtopic: Longitudinal Static Stability & Neutral Point

For a longitudinally statically stable aircraft, which one of the following represents the relationship between the coefficient of pitching moment about the center of gravity mcgC and absolute angle of attack a ? (Note: nose-up moment is positive.)

Official Key: D ➔
GATE AE 2021 • Q23 MCQ • 1M

Subtopic: Longitudinal Static Stability & Neutral Point

For a conventional statically stable airplane, which one of the following combinations of pitching moment parameters about the center of gravity is CORRECT?

Official Key: B ➔
GATE AE 2020 • Q49 NAT • 2M

Subtopic: Static Margin & Stick-Fixed/Free Stability

An aerospace system operating under standard sea level conditions is governed by Static Stability & Control (Static Margin & Stick-Fixed/Free Stability). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Official Key: 2.0 ➔
GATE AE 2019 • Q21 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

Which of the following statements about adverse yaw of an airplane is/are correct? P. It is caused by flow separation resulting from large rudder deflection. Q. It is caused by dissimilar drag forces acting on the two halves of the wing resulting from aileron deflections of same magnitude. R. It can be eliminated by ensuring that the upward deflection of one aileron is greater than the downward deflection of the opposite aileron.

Official Key: B ➔
GATE AE 2019 • Q23 MCQ • 1M

Subtopic: Longitudinal Static Stability & Neutral Point

200 N P MUNT 100 Nm 0.5m 100 Nm 0.5m MARR

Official Key: A ➔
GATE AE 2019 • Q54 NAT • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

The design of an airplane is modified to increase the vertical tail area by 20% and decrease the moment arm of the vertical tail by 20%. The ratio of the new directional stability derivative $C_{n\beta}$ (due to the vertical tail) to the original value is _________ (round off to 2 decimal places).

Official Key: 0.96 ➔
GATE AE 2018 • Q23 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

The natural frequency (in rad/s) of the spring-mass system shown in the figure below is _____ (accurate to one decimal place).

Official Key: B ➔
GATE AE 2018 • Q41 MCQ • 2M

Subtopic: Longitudinal Static Stability & Neutral Point

A statically-stable aircraft has a CL$\alpha$= 5 (where the angle of attack, $\alpha$, is measured in radians). The coefficient of moment of the aircraft about the center of gravity is given as CM,c.g = 0.05 - 4$\alpha$. The mean aerodynamic chord of the aircraft wing is 1 m. The location (positive towards the nose ) of the neutral point of the aircraft from the center of gravity is ______ (in m, accurate to two decimal places).

Official Key: D ➔
GATE AE 2017 • Q23 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

A pilot was flying a single engine propeller aircraft and maintaining a steady level flight at a lift coefficient, Cr=0.5 at an altitude of 500 m. Due to some emergency, at the same altitude (500 m), the pilot had to fully deploy the landing gear. If the pilot wants to maintain steady level flight at the same C1=0.5 and at the same altitude, which of the following control actions should the pilot undertake:

Official Key: C ➔
GATE AE 2017 • Q39 MCQ • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

A pilot was flying a single engine propeller aircraft and maintained steady level flight at trim. Due to torque reaction and slipstream rotation from a clockwise rotating propeller (viewed from the cockpit), the airplane tends to naturally:

Official Key: B ➔
GATE AE 2016 • Q23 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

Indicated airspeed is used by a pilot during

Official Key: B ➔
GATE AE 2016 • Q49 MCQ • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

An aircraft is flying level in the North direction at a velocity of 55 m/s under cross wind from East to West of 5 m/s. For the given aircraft C n$\beta$ = 0.012/deg and C n$\delta$r = - 0.0072/deg, where $\delta$r is the rudder deflection and $\beta$ is the side slip angle . The rudder deflection exerted by pilot is __________ degrees.

Official Key: B ➔
GATE AE 2015 • Q23 NAT • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

Determine the correctness or otherwise of the following assertion [a] and reason [r]: Assertion [a]: Aircraft directional static stability can be improved by moving the vertical tail rearward. Reason [r]: Moving the vertical tail rearward increases the moment arm from the tail aerodynamic center to the aircraft center of gravity.

Official Key: 2135.1 ➔
GATE AE 2014 • Q54 MCQ • 2M

Subtopic: Static Margin & Stick-Fixed/Free Stability

Consider the following four statements regarding aircraft longitudinal stability: P. CM,cg at zero lift must be positive Q. $\partial$CM,cg/$\partial \alpha$a must be negative ($\alpha$a is absolute angle of attack) R. CM,cg at zero lift must be negative S. Slope of CL versus $\alpha$a must be negative Which of the following combination is the necessary criterion for stick fixed longitudinal balance and static stability?

Official Key: D ➔
GATE AE 2013 • Q49 MCQ • 2M

Subtopic: Static Margin & Stick-Fixed/Free Stability

Minimum and maximum speeds of the airplane in level flight condition at sea-level in m/s are respectively

Official Key: C ➔
GATE AE 2013 • Q54 MCQ • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

The airplane trim lift coefficient L trimC is

Official Key: D ➔
GATE AE 2012 • Q16 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

In an aircraft, the dive manoeuvre can be initiated by:

Official Key: C ➔
GATE AE 2012 • Q17 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

In an aircraft, elevator control effectiveness determines

Official Key: C ➔
GATE AE 2012 • Q36 MCQ • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

An aircraft is trimmed straight and level at true air speed (TAS) of 100 m/s at standard sea level (SSL). Further, pull of 5 N holds the speed at 90 m/s without re-trimming at SSL (air density = 1.22 kg/m^3). To fly at 3000 m altitude (air density = 0.91 kg/m^3) and 120 m/s TAS without re-trimming, the aircraft needs

Official Key: B ➔
GATE AE 2012 • Q49 NAT • 2M

Subtopic: Static Margin & Stick-Fixed/Free Stability

The angle of incidence of tail to trim the wing-tail combination for a 5% static margin is

Official Key: -2.13 ➔
GATE AE 2011 • Q23 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

Thermodynamic cycle on which the jet engine operates can be Q.24

Official Key: C ➔
GATE AE 2010 • Q23 MCQ • 1M

Subtopic: Longitudinal Static Stability & Neutral Point

The damping ratio 5 is approximately:

Official Key: D ➔
GATE AE 2010 • Q26 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

The trim curves of an aircraft are of the form Cm.. = (0.05-0.26,) - 0.16, where the elevator deflection angle, o,, is in radians. The static inargin of the aircraft is:

Official Key: D ➔
GATE AE 2010 • Q33 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

2010 AE 0.44 The trim curves of an aircraft are of the form C... = (0.05 - 0.28,) - 0.1C, where ine elevaror deflection angle, ó,, is in radians. The change in elevator deflection needed to increase the lift coefficient from 0.4 10 0.9 is :

Official Key: A ➔
GATE AE 2010 • Q49 MCQ • 2M

Subtopic: Static Margin & Stick-Fixed/Free Stability

Core digits 2, 2. 3. 3. 3. 4. 4. 4. 4 how many distinct digit numbers greater than 3000 can be

Official Key: B ➔
GATE AE 2008 • Q23 MCQ • 1M

Subtopic: Longitudinal Static Stability & Neutral Point

Suppose the non-constant functions F(x) and G(t) satisfy d^2 F/dx^2 + p^2 F = 0 and dG/dt + c^2 p^2 G = 0, where p and c are constants. Then the function u(x,t) = F(x)G(t) definitely satisfies:

Official Key: B ➔
GATE AE 2008 • Q25 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

The figure below shows the variation of Cm versus a for an aircraft for three combinations of elevator deflections and locations of centre of gravity. In the figure, lines P and Q are parallel, while lines Q and R have the same intercept on the Cm axis. P Q R Which of the following statements is true?

Official Key: B ➔
GATE AE 2008 • Q34 MCQ • 1M

Subtopic: Static Margin & Stick-Fixed/Free Stability

Which of the following statements about the static stick-fixed stability of this aircraft is true?

Official Key: B ➔
GATE AE 2007 • Q26 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

If the center of gravity of an airplane is moved forward towards the nose of the airplane; the ma. (maximum value of the lift coefficient) value for which the airplane can be trimmed (C, = 0) will

Official Key: B ➔
GATE AE 2007 • Q27 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

rudder deflection If the contribution of only the horizontal tail of an airplane was considered for estimating да , and if the tail moment arm 4, was doubled, then how many times the original value would the new * become ? да

Official Key: C ➔
GATE AE 2007 • Q32 MCQ • 1M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

If horizontal tail area is increased while the elevator to horizontal tail area ratio is kept same, then

Official Key: A ➔
GATE AE 2007 • Q54 MCQ • 2M

Subtopic: Control Surfaces (Elevator, Aileron, Rudder)

The most aft location of the airplane center of gravity permitted to fulfill designer's requirement on longitudinal static stability is

Official Key: B ➔