Flight Mechanics & Space Dynamics 20 Official Questions ★ 4.9/5 Rating (1,400+ Aspirants)

Dynamic Stability

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

⚡ Core Formulas & Exam Relations (Dynamic Stability)

  • 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.
Launch Interactive Practice Hub View Formulas & Notes

Official PYQ Directory (20 Solved Questions)

GATE AE 2026 • Q23 MSQ • 1M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

Which of the following statements is/are TRUE about the stability of an aircraft?

Official Key: B, C, D ➔
GATE AE 2018 • Q24 MCQ • 1M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

The stagnation pressures at the inlet and exit of a subsonic intake are 100 kPa and 98 kPa, respectively. The pressure recovery of this intake will be ______ (accurate to two decimal places).

Official Key: B ➔
GATE AE 2017 • Q42 MCQ • 2M

Subtopic: Short Period & Phugoid Longitudinal Modes

The roots obtained by solving the longitudinal characteristic equation of an airplane are given by $\lambda_{1,2} = -0.005 \pm 0.05i$ and $\lambda_{3,4} = -1.2 \pm 2.5i$. These two pairs of complex conjugate roots correspond respectively to:

Official Key: B ➔
GATE AE 2016 • Q21 NAT • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

The d amping ratio in phugoid motion for gliders is usually less compared to powered aircraft because

Official Key: 2.0 ➔
GATE AE 2016 • Q24 NAT • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

The pitch angle and the angle of attack for a fixed wing aircraft are equal during

Official Key: 5.0 ➔
GATE AE 2016 • Q52 NAT • 2M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

The Dutch roll motion of the aircraft is described by following relationship                       r 76 . 0 49 . 4 1 26 . 0 r  The undamped natural frequency (rad/s) and damping ratio for the Dutch roll motion in that order are:

Official Key: -11.0 ➔
GATE AE 2015 • Q13 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

Which one of the following modes of a stable aircraft has non-oscillatory response characteristics?

Official Key: A ➔
GATE AE 2015 • Q24 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

An aircraft is flying with inertial ground and wind speeds of = (100, 5, 5) m/s and w = (0, -5, -10) m/s, respectively, as expressed in the body frame. The corresponding sideslip angle (in degrees) is

Official Key: B ➔
GATE AE 2015 • Q50 NAT • 2M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

An aerospace system operating under standard sea level conditions is governed by Dynamic Stability (Dutch Roll, Spiral & Roll Subsidence Modes). Compute the required parameter in standard SI units (rounded off to the acceptable range).

Official Key: 1747.0 ➔
GATE AE 2014 • Q24 NAT • 1M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

In most airplanes, the Dutch roll mode can be excited by applying

Official Key: 3.0 ➔
GATE AE 2013 • Q24 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

Which one of the following shows the CORRECT variation of stagnation temperature along the axis of an ideal ram jet engine?

Official Key: B ➔
GATE AE 2012 • Q50 MCQ • 2M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

What is the radial component of the fluid's velocity at a radial location 0.5 m from the pipe axis?

Official Key: A ➔
GATE AE 2010 • Q24 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

If l. j and & are unis vectors along x, y and z, respectively, then al the point * = 5, y = 10 the unit vector in the direction of the steepest slope of the hill will be:

Official Key: D ➔
GATE AE 2010 • Q40 MCQ • 2M

Subtopic: Short Period & Phugoid Longitudinal Modes

If v= 200 m/s then the wavelength of the phugoid oscillations, assuming 8 = 9.81 m/s*, is. approximately:

Official Key: C ➔
GATE AE 2010 • Q50 MCQ • 2M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

There are no twin: what order were they born (oldest first'

Official Key: A ➔
GATE AE 2009 • Q24 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

Stagnation temperature increases.

Official Key: B ➔
GATE AE 2009 • Q35 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

The short period damped frequency is

Official Key: A ➔
GATE AE 2008 • Q29 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

P: Short period mode 1: Coupled roll-yaw oscillations Q: Wing rock 2: Angle of attack remains constant R: Phugoid mode 3: Roll oscillations S: Dutch roll 4: Speed remains constant

Official Key: D ➔
GATE AE 2008 • Q50 MCQ • 2M

Subtopic: Dutch Roll, Spiral & Roll Subsidence Modes

MJ/kg, the fuel to air ratio is

Official Key: A ➔
GATE AE 2007 • Q24 MCQ • 1M

Subtopic: Short Period & Phugoid Longitudinal Modes

Power (BP) at the above flight condition will be

Official Key: B ➔