GATE AE year:2017 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 3 of 7

Assuming that the aircraft is flying straight, the top spar cap / flange of a wing is most likely to fail in:

Diagram for Aerospace Engineering question 21

Your answerChoose one option.

Yielding

Buckling

Crushing

Creep

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A 2-DOF undamped spring-mass system with two masses and two springs has natural frequencies

rad/s and

rad/s. The mode shapes for the system are given by

and

. If the first mass is displaced by 1 cm, the minimum displacement in cm to be given to the second mass to make the system vibrate in first mode alone is __________ (in three decimal place).

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An aircraft landing gear can be idealized as a single degree of freedom spring-mass-damper system. The desirable damping characteristics of such a system is:

Your answerChoose one option.

Under damped

Over damped

Critically damped

Undamped

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A single degree of freedom spring-mass system of natural frequency 5 Hz is modified in the following manners: Case 1: Viscous damping with damping ratio

is introduced in parallel to the spring. Case 2: The original undamped spring-mass system is moved to a surface with coefficient of friction,

. The ratio of the damped natural frequency for the cases 1 and 2 is given by __________ (in three decimal places).

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Which of the following statements about the compatibility equations are true: P. Strain compatibility equations must be satisfied in the solution of three-dimensional problems in elasticity. Q. Six strains are defined in terms of three displacement functions and can have arbitrary values. R. Compatibility equations are an expression of the continuity of displacements.

Your answerChoose one option.

P and Q

Q and R

P and R

P, Q and R

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Matrix

and vector

are given. If vector

is the solution to the system of equations

, which of the following is true for

Your answerChoose one option.

Solution does not exist

Infinite solutions exist

Unique solution exists

Five possible solutions exist

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Let matrix

. Then for any non-trivial vector

, which of the following is true for the value of

Your answerChoose one option.

K is always less than zero

K is always greater than zero

K is non-negative

K can be anything

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Consider the initial value problem:

and

are the Laplace transforms of

and

respectively, then

is given by:

Your answerChoose one option.

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Let

denote the displacement of a point on a rod. The displacement satisfies the following equation of motion:

with

;

. The value of

is ________ (in three decimal places).

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The equation

has a solution

that is:

Your answerChoose one option.

A polynomial in

Finite series in terms of non-integer fractional powers of

Consists of negative integer powers of

and logarithmic function of

Consists of exponential functions of

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GATE AE year:2017 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30