Aerospace Engineering GATE 2023 Questions with Answer

Ques 53 Mathematics

Consider the differential equation

Ques 54 Solid Mechanics

Which of the following statement(s) is/are true about the state of stress in a plane?

Ques 55 Solid Mechanics

The thickness of a uniform hollow circular shaft is equal to the difference between the outer radius and the inner radius. The ratio of the inner diameter to the outer diameter of the shaft is 0.5. For the shaft reacting to an applied torque, the ratio of the maximum shear stress τ to the maximum shear stress τ_thin-wall obtained using the thin-wall approximation is _______. (round off to one decimal place)

Ques 56 Solid Mechanics

A rigid bar AB is subjected to a uniformly distributed load of 100 N/m as shown in the figure. The bar is supported by rod CD, with A, C, and D as pin joints. The rod CD has an axial stiffness of 40 N/mm. The vertical deflection at point D is _______ mm. (round off to the nearest integer)

Ques 57 Solid Mechanics

A cantilever beam of length 2a is loaded at the tip with force F as shown in the figure. The beam is supported in the middle by a roller with a pin. The magnitude of moment reaction at the built-in end of the beam is αFa, where α is _______. (round off to one decimal place)

Ques 58 Solid Mechanics

Consider a thin-walled cylindrical pressure vessel made of an alloy with a yield strength of 300 MPa. The vessel has end caps to contain the pressure. The ratio of the radius of the vessel to its wall thickness is 100. As per the von Mises yield criterion, the internal pressure that would cause the failure of the vessel is _______ MPa. (round off to two decimal places)

Ques 59 Space Dynamics

Which one of the following figures represents the qualitative variation of absolute deceleration |dV/dt| with altitude h (measured from the mean sea level) for a space vehicle undergoing a ballistic entry into the Earth's atmosphere? *[Insert Figures Here]*

A

B

C

D

Ques 60 Space Dynamics

The universal gravitational constant is 6.67 x 10^-11 Nm²/kg². For a planet of mass 6.4169 x 10²³ kg and radius 3390 km, the escape velocity is _______ km/s. (round off to one decimal place)

Ques 61 Space Dynamics

A satellite is in a circular orbit around Earth with a time period of 90 minutes. The radius of Earth is 6370 km, the mass of Earth is 5.98 x 10²⁴ kg and the universal gravitational constant is 6.67 x 10^-11 Nm²/kg². The altitude of the satellite above mean sea level is _______ km. (round off to the nearest integer)

Ques 62 Thermodynamics

The ratio of the speed of sound in H₂ (molecular weight 2 kg/kmol) to that in N₂ (molecular weight 28 kg/kmol) at temperature 300 K and pressure 2 bar is _______. (round off to two decimal places)

Ques 63 Vibrations

Which of the following statement(s) is/are true about harmonically excited forced vibration of a single degree-of-freedom linear spring-mass-damper system?

Ques 64 Vibrations

For studying wing vibrations, a wing of mass M and finite dimensions has been idealized by assuming it to be supported using a linear spring of equivalent stiffness k and a torsional spring of equivalent stiffness k_θ as shown in the figure. The center of gravity (CG) of the wing idealized as an airfoil is marked in the figure. The number of degree(s) of freedom for this idealized wing vibration model is _______. (Answer in integer)

Ques 65 Vibrations

A single degree-of-freedom spring-mass-damper system has a viscous damping ratio of 0.1. The mass is given an initial displacement of 10 cm without imparting any velocity. After exactly two complete cycles of oscillation (i.e., after time 2T_d where T_d is the period of the damped vibration), the amplitude of the displacement is _______ cm. (round off to two decimal places)