Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2009 Questions with Answer

Ques 53 GATE 2009

The life of a geo-stationary communications satellite is limited by

A

the working life of the on-board electronic circuitry

B

the time it takes for its orbit to decay due to atmospheric drag

C

the quantity of on-board fuel available for station-keeping

D

the number of meteorite impacts that the satellite structure can withstand before breaking up


(c) is the correct answer.

Ques 54 GATE 2009

The acceleration due to gravity on the surface of Mars is 0.385 times that on earth, and the diameter of
Mars is 0.532 times that of earth. The ratio of the escape velocity from the surface of Mars to the
escape velocity from the surface of earth is approximately

A

0.453

B

0.205

C

0.851

D

0.724


(a) is the correct answer.

Ques 55 GATE 2009

A piston compresses 1 kg of air inside a cylinder as shown

The rate at which the piston does work on the air is 3000 W. At the same time, heat is being lost through the walls of the cylinder at a rate of 847.5 W.
After 10 seconds, the change in specific internal energy of the air is

A

21,525 J/kg

B

-21,525 J/kg

C

30,000 J/kg

D

-8.475 J/kg


(a) is the correct answer.

Ques 56 GATE 2009

A piston compresses 1 kg of air inside a cylinder as shown

The rate at which the piston does work on the air is 3000 W. At the same time, heat is being lost through the walls of the cylinder at a rate of 847.5 W.
Given that the specific heats of air at constant pressure and volume are cp=1004.5 J/kg-K
cv=717.5 J/kg-K respectively, the corresponding change in the temperature of the air is

A

21.4 K

B

-21.4 K

C

30 K

D

-30 K


(c) is the correct answer.

Ques 57 GATE 2009

For a critically damped single degree of freedom spring - mass damper system with a damping
constant c of 4 Ns/m and spring constant k of 16 N/m the system mass m is

A

0.5 kg

B

0.25 kg

C

2 kg

D

4 kg


(b) is the correct answer.

Ques 58 GATE 2009

For the spring-mass system shown below, the natural frequencies are

A

0 and √k(m1+m2)/m1m2

B

0 and √k(m1+m2)/2m1m2

C

0 and √k/(m1+m2)

D

0 and √k/2(m1+m2)


(a) is the correct answer.

Ques 59 GATE 2009

A uniform rigid bar of mass m=1 kg and length L=1 m is pivoted at A. It is supported by a spring of
stiffness k=1 N/m and a viscous damper of damping constant C=1 N-s/m, with shown below. The moment of inertia of the rigid bar is IA=mL2/3

The system is

A

overdamped

B

underdamped with natural frequency ωn=1 rad/s

C

critically damped

D

underdamped with natural frequency ωn=2 rad/s


(c) is the correct answer.

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