GATE AE branch:ae PYQs & Answers — Page 50

Questions 491–500 of 650. Imported answers require independent review unless marked reviewed.

The following system of equations

Your answerChoose one option.

has no solution.

has a unique solution.

has three solutions.

has an infinite number of solutions.

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A supersonic flow in a constant area duct at Mach number

encounters a ramp of angle

(see Figure 1). The resulting oblique shock with shock angle

is then reflected from the top wall. For the reflected shock, the turn angle is

and the shock angle is

Diagram for Aerospace Engineering question 27

Use the weak shock solution from the

plot shown in Figure 2 to choose the correct option from the following.

Diagram for Aerospace Engineering question 27 (figure 2)

Your answerChoose one option.

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Which of the following statements about adverse yaw of an airplane is/are correct? P. It is caused by flow separation resulting from large rudder deflection. Q. It is caused by dissimilar drag forces acting on the two halves of the wing resulting from aileron deflections of same magnitude. R. It can be eliminated by ensuring that the upward deflection of one aileron is greater than the downward deflection of the opposite aileron.

Your answerChoose one option.

P only

Q only

P and R

Q and R

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In a turbot engine, the compressor outlet temperature increases with decrease efficiency of the compressor. If the turbine inlet temperature remains constant, with decreasing efficiency of the compressor, the thrust specific fuel consumption of the engine

Your answerChoose one option.

decreases, as the heat input is lower.

remains unchanged.

increases, as the compressor needs more work input from the turbine.

decreases, as the thrust produced is higher.

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For a 1 m long simply supported beam with a concentrated vertical load of 200 N and a concentrated bending moment of 100 Nm at the center as shown in the figure, the correct bending moment diagram is:

Diagram for Aerospace Engineering question 30

Your answerChoose one option.

Diagram for Aerospace Engineering question 30 (figure 2)

Diagram for Aerospace Engineering question 30 (figure 3)

Diagram for Aerospace Engineering question 30 (figure 4)

Diagram for Aerospace Engineering question 30 (figure 5)

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For real

, the number of points of intersection between the curves

and

is ______.

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One of the eigenvalues of the following matrix is 1.

The other eigenvalue is ______.

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The curve

is such that its slope is equal to

for all real

. If the curve passes through

, the value of

is ______ (round off to 1 decimal place).

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The inviscid, incompressible flow field resulting from a uniform flow past a circular cylinder of radius

centered at the origin is given by:

Diagram for Aerospace Engineering question 34

where

and

are the radial and azimuthal velocity components in polar coordinates,

, as shown in the figure.

is the free stream speed. Ignore the effects of gravity. The azimuthal location (in the first quadrant) on the cylinder at which the pressure coefficient is zero is ______ degrees (round off to the nearest integer).

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A cylindrical container of radius

cm is filled with water up to a height

. Upon rotating the cylinder about its central axis at a constant angular speed, the free surface takes a parabolic shape (see figure), and is displaced upwards by

cm at

. The magnitude of the downward displacement

of the free surface at

is ______ cm (round off to the nearest integer).

Diagram for Aerospace Engineering question 35

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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