Aerospace Engineering Gate 2020 Questions with Answer

Ques 27 GATE 2020

Three long and slender aluminum bars of identical length are subjected to an axial tensile force. These bars have circular, triangular and rectangular cross sections, with the same cross sectional area. If they yield at F_circle, F_triangle and F_rectangle, respectively, which one of the following is true?

Ques 28 GATE 2020

As shown in the figure, a beam of length 1 m is rigidly supported at one end and simply supported at the other. Under the action of a uniformly distributed load of 10 N/m, the magnitude of the normal reaction force at the simply supported end is _______ N (round off to two decimal places).

Ques 29 GATE 2020

For hyperbolic trajectory of a satellite of mass m having velocity V at a distance r from the center of earth (G: gravitational constant, M: mass of earth), which one of the following relations is true?

Ques 30 GATE 2020

Burnout velocity of a space vehicle in a circular orbit at an angle 5 degrees above the local horizon around earth is 13.5 km/s. Tangential velocity of the space vehicle in the orbit is _______ km/s (round off to two decimal places).

Ques 31 GATE 2020

Burnout velocity of a space vehicle in a circular orbit at an angle 5 degrees above the local horizon around earth is 13.5 km/s. Tangential velocity of the space vehicle in the orbit is _______ km/s (round off to two decimal places).

Ques 32 GATE 2020

The ratio of tangential velocities of a planet at the perihelion and the aphelion from the sun is 1.0339. Assuming that the planet's orbit around the sun is planar and elliptic, the value of eccentricity of the orbit is _______ (round off to three decimal places).

Ques 33 GATE 2020

The natural frequency of the first mode of a rectangular cross section cantilever aluminum beam is ω rad/s. If the material and cross-section remain the same, but the length of the beam is doubled, the first mode frequency will become

Ques 34 GATE 2020

A critically damped single degree of freedom spring-mass-damper system used in a door closing mechanism becomes overdamped due to softening of the spring with extended use. If the new damping ratio (ζnew) for overdamped condition is 1.2, the ratio of the original spring stiffness to the new spring stiffness (korg/knew), assuming that the other parameters remain unchanged, is _______ (round off to two decimal places).

Ques 35 GATE 2020

The two masses of the two degree of freedom system shown in the figure are given initial displacements of 2 cm (x1) and 1.24 cm (x2). The system starts to vibrate in the first mode. The first mode shape of this system is φ1=[1 a]T, where a= _______ (round off to two decimal places).