GATE AE year:2021 PYQs & Answers — Page 3

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

For the state of stress as shown in the figure, what is the orientation of the plane with maximum shear stress with respect to the x-axis?

Diagram for Aerospace Engineering question 11

Your answerChoose one option.

45°

-45°

22.5°

-22.5°

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Let

be the true airspeed of an aircraft flying at a certain altitude where the density of air is

, and

be the equivalent airspeed. If

is the density of air at sea-level, what is the ratio

equal to?

Your answerChoose one option.

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variation for a certain aircraft is shown in the figure. Which one of the following statements is true for this aircraft?

Diagram for Aerospace Engineering question 13

Your answerChoose one option.

The aircraft can trim at a positive

and it is stable.

The aircraft can trim at a positive

, but it is unstable.

The aircraft can trim at a negative

and it is stable.

The aircraft can trim at a negative

, but it is unstable.

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Which of the following statement(s) is/are true across an oblique shock (in adiabatic conditions) over a wedge shown below?

Diagram for Aerospace Engineering question 14

Your answerSelect all correct options. You can choose more than one.

Total pressure decreases

Mach number based on velocity tangential to the shock decreases

Total temperature remains constant

Mach number based on velocity tangential to the shock remains the same and that based on velocity normal to the shock decreases

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Which of the following statement(s) is/are true with regards to Kutta condition for flow past airfoils?

Your answerSelect all correct options. You can choose more than one.

It is utilized to determine the circulation on an airfoil.

It is applicable only to airfoils with sharp trailing edge.

The trailing edge of an airfoil is a stagnation point.

The flow leaves the trailing edge smoothly.

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According to the thin airfoil theory, which of the following statement(s) is/are true for a cambered airfoil?

Your answerSelect all correct options. You can choose more than one.

The lift coefficient for an airfoil is directly proportional to the absolute angle of attack.

The aerodynamic center lies at quarter chord point.

The center of pressure lies at quarter chord point.

Drag coefficient is proportional to the square of lift coefficient.

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______ (round off to nearest integer).

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Given that

is the unit circle in the counter-clockwise direction with its center at origin, the integral

______ (round off to three decimal place).

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A single degree of freedom spring-mass-damper system is designed to ensure that the system returns to its original undisturbed position in minimum possible time without overshooting. If the mass of the system is 10 kg, spring stiffness is 1740 N/m and the natural frequency is 13.2 rad/s, the coefficient of damping of the system in Ns/m is ______ (round off to nearest integer).

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Two cantilever beams (Beam 1 and Beam 2) are made of same homogenous material and have identical cross sections. Beam 1 has length

and Beam 2 has length

. Ratio of the first natural frequency of Beam 1 to that of Beam 2 is ______ (round off to nearest integer).

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GATE AE year:2021 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20