Aerospace Engineering GATE 2024 Questions with Answer

Ques 53 Solid Mechanics

In the figure shown below, the magnitude of the internal force in member BC is _______ N.

Ques 54 Solid Mechanics

The cross-section of a thin-walled beam with uniform wall thickness t, shown in the figure, is subjected to a bending moment M_x = 10 Nm. If h = 1 m and t = 0.001 m, the magnitude of maximum normal stress in the cross-section is _______ N/m² (answer in integer).

Ques 55 Solid Mechanics

Consider the plane strain field given by
ε_xx = 10xy², ε_yy = -5x²y and γ_xy = Axy(2x-y),
where A is a constant and γ_xy is the engineering shear strain. The value of the constant A for the strain field to be compatible is _______ (rounded off to 1 decimal place).

Ques 56 Space Dynamics

Which of the following statements is/are correct about a satellite moving in a geostationary orbit?

Ques 57 Space Dynamics

At a point in the trajectory of a space vehicle moving about the Earth, the altitude above the mean sea level is 6400 km, and the speed with reference to a coordinate system fixed to the center of mass of the Earth is 9 km/s. Assume that the Earth is a sphere with a radius of 6400 km and that GM_Earth = 3.98 x 10¹⁴ m³/s², where G is the universal gravitational constant and M_Earth is the mass of the Earth. The trajectory is:

Ques 58 Space Dynamics

Consider an artificial satellite moving around the Moon in an elliptic orbit. The altitude of the satellite from the Moon's surface at the perigee is 25 km and that at the apogee is 134 km. Assume the Moon to be spherical with a radius of 1737 km. The trajectory is considered with reference to a coordinate system fixed to the center of mass of the Moon. The ratio of the speed of the satellite at the perigee to that at the apogee is _______ (rounded off to 2 decimal places).

Ques 59 Thermodynamics

For an ideal gas, the specific heat at constant pressure is 1147 J/kg K and the ratio of specific heats is equal to 1.33. What is the value of the gas constant for this gas in J/kg K?

Ques 60 Thermodynamics

A surrogate liquid hydrocarbon fuel, approximated as C₁₀H₁₂, is being burned in a land-based gas turbine combustor with dry air (79% N₂ and 21% O₂ by volume). How many moles of dry air are required for the stoichiometric combustion of the surrogate fuel with dry air at atmospheric temperature and pressure?

Ques 61 Thermodynamics

In an airbreathing gas turbine engine, the combustor inlet temperature is 600 K. The heating value of the fuel is 43.4 x 10⁶ J/kg. Assume C_p to be 1100 J/kg K for air and burned gases, and fuel-air ratio f << 1.0. Neglect kinetic energy at the inlet and exit of the combustor and assume 100% burner efficiency. What is the fuel-air ratio required to achieve 1300 K temperature at the combustor exit?

Ques 62 Vibrations

Consider the free vibration responses P, Q, R, and S (shown in the figure) of a single degree of freedom spring-mass-damper system with the same initial conditions. For the different damping cases listed below, which one of the following options is correct?
1. Overdamped
2. Underdamped
3. Critically damped
4. Undamped

Ques 63 Vibrations

For a single degree of freedom spring-mass-damper system subjected to harmonic forcing, the part of the motion (response) that decays due to damping is known as

Ques 64 Vibrations

The equations of motion for a two degrees of freedom undamped spring-mass system are:
mẍ₁ + 2kx₁ - kx₂ = 0,
mẍ₂ - kx₁ + 2kx₂ = 0,
where m and k represent mass and stiffness, respectively, in corresponding SI units, and x₁ and x₂ are the degrees of freedom. The larger of the two natural frequencies is given by: ω = α√(k/m) rad/s. The value of α is _______ (rounded off to 2 decimal places).