Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2021 Questions with Answer

Ques 53 GATE 2021

Two cantilever beams AB and DC are in contact with each other at their free ends through a roller as shown in the figure. Both beams have a square cross-section of 50 mm x 50 mm, and the elastic modulus E = 70 GPa. If beam AB is subjected to a uniformly distributed load of 20 kN/m, then the compressive force experienced by the roller is _______ kN. (round off to one decimal place)


(2.2 to 2.6) is the correct answer.

Ques 54 GATE 2021

A 3 m x 1 m signboard is supported by a vertical hollow pole that is fixed to the ground. The pole has a square cross-section with outer dimension 250 mm. The yield strength of the pole material is 240 MPa. To sustain a wind pressure of 7.5 kPa, the dimension d of the pole is _______ mm (round off to the nearest integer). (Neglect the effect of transverse shear and load due to wind pressure acting on the pole)


(232 to 238) is the correct answer.

Ques 55 GATE 2021

The velocity required to launch a space shuttle from the surface of the earth to achieve a circular orbit of 250 km altitude is _______. (round off to two decimal places).
For earth, Gme = 398,600.4 km3/s2 and surface radius R0 = 6378.14 km.


(7.75 to 7.77 or 7750.00 to 7770.00) is the correct answer.

Ques 56 GATE 2021

The figure shows three glasses P, Q and R with water and floating ice cube. Glass P has a solid ice cube, glass Q has an ice cube with a small solid steel ball embedded in it and glass R has an ice cube with an air bubble. After the ice cube melts, the level of water in glasses P, Q and R, respectively: _______.

A

remains the same, increases, and decreases

B

increases, decreases, and increases

C

remains the same, decreases, and decreases

D

remains the same, decreases, and increases


(c) is the correct answer.

Ques 57 GATE 2021

A rigid massless rod pinned at one end has a mass m attached to its other end. The rod is supported by a linear spring of stiffness k as shown in the figure. The natural frequency of this system is: _______.

A

B

C

D


(a) is the correct answer.

Ques 58 GATE 2021

A two-degree of freedom spring-mass system undergoing free vibration with generalized coordinates x1 and x2 has natural frequencies ω1 = 233.9 rad/s and ω2 = 324.5 rad/s, respectively. The corresponding mode shapes are φ1 = [1, -3.16] and φ2 = [1,3.16]. If the system is disturbed with certain deflections and zero initial velocities, then which of the following statement(s) is/are true?

A

An initial deflection of x1(0) = 6.32 cm and x2(0) = -3.16 cm would make the system oscillate with only the second natural frequency.

B

An initial deflection of x1(0) = 2 cm and x2(0) = -6.32 cm would make the system oscillate with only the first natural frequency.

C

An initial deflection of x1(0) = 2 cm and x2(0) = -2 cm would make the system oscillate with a linear combination of first and second natural frequencies.

D

An initial deflection of x1(0) = 1 cm and x2(0) = -6.32 cm would make the system oscillate with only the first natural frequency.


(b,c) is the correct answer.

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: