List of top Questions asked in GATE AE

For a conventional fixed-wing aircraft in a 360\(^\circ\) inverted vertical loop maneuver, what is the load factor ($n$) at the topmost point of the loop? Assume the flight to be steady at the topmost point.
A two degree of freedom spring–mass system undergoes free vibration with natural frequencies \( \omega_1 = 233.9 \,\text{rad/s} \) and \( \omega_2 = 324.5 \,\text{rad/s} \). The mode shapes are \[ \phi_1 = \begin{bmatrix} 1 \\ -3.16 \end{bmatrix}, \phi_2 = \begin{bmatrix} 1 \\ 3.16 \end{bmatrix}. \] Given zero initial velocities, identify which initial deflections produce pure or mixed mode oscillations. \\
For a conventional fixed-wing aircraft, which of the following statements are true?
A thin-walled cylindrical tank is internally pressurized. If the hoop strain is thrice the axial strain, the Poisson's ratio of the material is \(\underline{\hspace{1cm}}\) (correct to one decimal place).
For the jet aircraft data provided, the speed for maximum endurance in steady level flight is \(\underline{\hspace{1cm}}\) m/s (round off to two decimal places).
Compute the velocity required from Earth's surface to reach a circular orbit at 250 km altitude (round off to two decimals).
Earth data: \( GM_e = 398600.4 \, \text{km}^3/\text{s}^2 \), \( R_0 = 6378.14 \, \text{km} \)
Which of the following statement(s) is/are true with regards to Kutta condition for flow past airfoils?
According to the thin airfoil theory, which of the following statement(s) is/are true for a cambered airfoil?
Given that $\zeta$ is the unit circle in counter-clockwise direction, evaluate:
\[ \oint_{\zeta} \frac{z^3}{4z - i} \, dz \] (round off to three decimal places).
A spring-mass-damper system (m = 10 kg, k = 17400 N/m) has natural frequency 13.2 rad/s. Find the damping coefficient $c$ for critical damping (round off to nearest integer).
Two cantilever beams of same material & cross-section have lengths $l$ and $2l$. Find the ratio of their first natural frequencies (round off to nearest integer).
The shape of a supersonic diffuser that slows down a supersonic flow to subsonic flow is
The combustion process in a turbo-shaft engine during ideal operation is:
How does the specific thrust of a turbojet engine change for a given flight speed with increase in flight altitude?
How does the propulsion efficiency of a turbofan engine, operating at a given Mach number and altitude, change with increase in compressor pressure ratio?
A solid propellant rocket producing 25 MN thrust is fired for 150 seconds. The specific impulse of the rocket is 2980 Ns/kg. How much propellant is burned during the rocket operation?
Consider the velocity field \[ \vec{V} = (2x + 3y)\hat{i} + (3x + 2y)\hat{j}. \] The field \( \vec{V} \) is: