Aerospace Engineering Gate 2014 Questions with Answer

Ques 40 GATE 2014


For the periodic function given by with f(x+2π)=f(x). using Fourier series, the sum s=1-1/3+1/5-1/7. +converges to

A

1

B

π/3

C

π/4

D

π/5


(c) is the correct answer.

Ques 41 GATE 2014


Let ฮ“ be the boundary of the closed circular region A given by x2+y2≤1 Then I=∫Γ(3x3-9xy2)ds (where ds means integration along the bounding curve) is

A

π

B

C

1

D

0


(d) is the correct answer.

Ques 42 GATE 2014


Solution to the boundary-value problem
-9 d2u/dx2+u=5x, 0<x<3 with u(0)=0,du/dx|x=3=0 is

A

u(x)=(15e)/(1+e2)(e-x/3-ex/3)+5x

B

u(x)=(15e)/(1+e2)(e-x/3+ex/3)+5x

C

u(x)=-(15sin(x/3))/cos(1)+5x

D

μ(x)=-(15sin(x/3))/cos(1)-(5/54)x3


(a) is the correct answer.

Ques 43 GATE 2014


The Laplace transform L(u(t))=U(s), for the solution u(t) of the problem d2u/dt2+2du/dt+u=1, t>0 with initial conditions u(0)=0,du(0)/dt=5; is given by:

A

6/(s+1)2

B

s+5/(s+1)2

C

1-5s/(s(s+1)2)

D

5s2+1/(s(s+1)2)


(b) is the correct answer.

Ques 44 GATE 2014


A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.
The word closest in meaning to comprehension is

A

understanding

B

meaning

C

concentration

D

stability


(a) is the correct answer.

Ques 45 GATE 2014


Choose the most appropriate word from the options given below to complete the following sentence.
One of his biggest _______ was his ability to forgive.

A

vice

B

virtues

C

choices

D

strength


(b) is the correct answer.

Ques 46 GATE 2014


A damped single degree of freedom system whose undamped natural frequency ,ωn=10Hz, is subjected to sinusoidal external force. Power is half of the maximumfor the two frequencies of 60.9469 rad/s and 64.7168 rad/s. The damping factor associated with the vibrating system (in %) is


(2.95 to 3.05) is the correct answer.

Ques 47 GATE 2014


The moment coefficient measured about the centre of gravity and about aerodynamic centre of a given wing-body combination are 0.0065 and -0.0235 respectively. The aerodynamic centre lies 0.06 chord lengths ahead of the centre of gravity. The lift coefficient for this wing-body is


(0.45 to 0.55) is the correct answer.

Ques 48 GATE 2014


In most airplanes, the Dutch roll mode can be excited by applying

A

a step input

B

a step input to the rudder

C

a

D

an impulse input to the elevators


(b) is the correct answer.

Ques 49 GATE 2014


A single degree of freedom system is vibrating with initial (first cycle) amplitude of 5cm. The viscous damping factor associated with the vibrating system is 2%. Vibration amplitude of the fifth cycle (in cm) is

A

1.65

B

2.67

C

3.02

D

3.02


(d) is the correct answer.

Ques 50 GATE 2014


Consider the following four statements regarding aircraft longitudinal stability:

P. CM,cg at zero lift must be positive
Q. ∂CM,cg/∂aa must be negative (aa is absolute angle of attack)
R. CM,cg at zero lift must be negative
S. Slope of CL versus aa must be negative

Which of the following combination is the necessary criterion for stick fixed longitudinal balance and static stability?

A

Q and R only

B

Q, R, and S only

C

P and Q only

D

Q and S only


(c) is the correct answer.

Ques 51 GATE 2014


The vertical ground load factor on a stationary aircraft parked in its hangar is:

A

0

B

-1

C

-1.5

D

1


(d) is the correct answer.

Ques 52 GATE 2014


Under what conditionshould a ensure minimum sink rate?

A

Maximum CL/CD

B

Minimum CL/CD

C

Maximum CD/CL3/2

D

Minimum CD/CL1/2


(d) is the correct answer.

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