GATE AE year:2022 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

For a thin-walled I section, the width of the two flanges as well as the web height are the same, i.e.,

mm. Thickness is 0.6 mm.

The second moment of area about a horizontal axis passing through the centroid is ______ mm

Diagram for Aerospace Engineering question 61

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A damper with damping coefficient,

, is attached to a mass of 5 kg and spring of stiffness 5 kN/m as shown in figure. The system undergoes under-damped oscillations.

If the ratio of the 3rd amplitude to the 4th amplitude of oscillations is 1.5, the value of

is ____ Ns/m (rounded off to the nearest integer).

Diagram for Aerospace Engineering question 62

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A uniform rigid prismatic bar of total mass

is suspended from a ceiling by two identical springs as shown in figure.

Let

and

be the natural frequencies of mode I and mode II respectively (

The value of

is ________ (rounded off to one decimal place).

Diagram for Aerospace Engineering question 63

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An ideal ramjet is to operate with exhaust gases optimally expanded to ambient pressure at an altitude where temperature is 220 K. The exhaust speed at the nozzle exit is 1200 m/s at a temperature of 110 K.

Given:

at 220 K;

J/(kg-K) for air

at 110 K;

J/(kg-K) for exhaust gases.

The cruise speed of this ramjet is ________ m/s (rounded off to nearest integer).

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A multistage axial compressor takes in air at 1 atm, 300 K and compresses it to a minimum of 5 atm.

The mean blade speed is 245 m/s and work coefficient,

is 0.55 for each stage. For air, use

J/(kg-K),

J/(kg-K) and

If the compression is isentropic, the number of stages required is __________ (rounded off to the next higher integer).

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GATE AE year:2022 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65