GATE AE branch:ae PYQs & Answers — Page 23

Questions 221–230 of 650. Imported answers require independent review unless marked reviewed.

Which of the following statement(s) is/are true about the state of stress in a plane?

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

Maximum or major principal stress is algebraically the largest direct stress at a point.

The magnitude of minor principal stress cannot be greater than the magnitude of major principal stress.

The planes of maximum shear stress are inclined at 90 degrees to the principal axes.

The normal stresses along the planes of maximum shear stress are equal.

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Which of the following statement(s) is/are true about the ribs of an airplane wing with semi-monocoque construction?

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

For a rectangular planform wing, the dimensions of the ribs DO NOT depend on their spanwise position in the wing.

Ribs increase the column buckling stress of longitudinal stiffeners connected to them.

Ribs increase plate buckling stress of the skin panels.

Ribs help in maintaining aerodynamic shape of the wing.

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From the options given, select all that are true for turbofan engines with afterburners.

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

Turning afterburner ON increases specific fuel consumption.

Turbofan engines with afterburners have variable area nozzles.

Turning afterburner ON decreases specific fuel consumption.

Turning afterburner ON increases stagnation pressure across the engine.

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Which of the following statement(s) is/are true with respect to eigenvalues and eigenvectors of a matrix?

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

The sum of the eigenvalues of a matrix equals the sum of the elements of the principal diagonal.

is an eigenvalue of a matrix

, then

is always an eigenvalue of its transpose (

is an eigenvalue of an orthogonal matrix

, then

is also an eigenvalue of

If a matrix has

distinct eigenvalues, it also has

independent eigenvectors.

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For studying wing vibrations, a wing of mass

and finite dimensions has been idealized by assuming it to be supported using a linear spring of equivalent stiffness

and a torsional spring of equivalent stiffness

as shown in the figure. The centre of gravity (CG) of the wing idealized as an airfoil is marked in the figure. The number of degree(s) of freedom for this idealized wing vibration model is ________. (Answer in integer)

Diagram for Aerospace Engineering question 30

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The system of equations

has a non-trivial solution for

_____. (Answer in integer)

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An airplane weighing 40 kN is landing on a horizontal runway during which it is retarded by an arresting cable mechanism. The tension in the arresting cable at a given instant, as shown in the figure, is 100 kN. Assuming that the thrust from the engine continues to balance airplane drag, the magnitude of horizontal load factor is _______. (round off to one decimal place)

Diagram for Aerospace Engineering question 32

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The ratio of the speed of sound in H

(molecular weight 2 kg/kmol) to that in N

(molecular weight 28 kg/kmol) at temperature 300 K and pressure 2 bar is ____. (round off to two decimal places)

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Airplane A and Airplane B are cruising at altitudes of 2 km and 4 km, respectively. The free stream density and static pressure at altitude 2 km are 1.01 kg/m

and 79.50 kPa, respectively, and at altitude 4 km, they are 0.82 kg/m

and 61.70 kPa, respectively. The differential pressure reading from the pitot-static tubes is 3 kPa for both the airplanes. Assuming incompressible flow, the ratio of cruise speeds of Airplane A to Airplane B is _____. (round off to two decimal places)

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A supersonic vehicle powered by a ramjet engine is cruising at a speed of 100 m/s. The ramjet engine burns hydrogen in a subsonic combustor to produce thrust. The heat of combustion for hydrogen is 120 MJ/kg. The overall efficiency of the engine

, defined as the ratio of propulsive power to the total heat release in the combustor, is 40%. Taking acceleration due to gravity

m/s

, the specific impulse of the engine is ____________ seconds. (round off to the nearest integer).

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GATE AE branch:ae PYQs

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35