Questions 91–100 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 10 of 65

Question 26

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For a homogeneous, isotropic material, the relation between the shear modulus (

), Young’s modulus (

), and Poisson’s ratio (

) is ____.
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Question 27

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A simply supported horizontal beam is subjected to a distributed transverse load varying linearly from

at A to zero at B, as shown in the figure. Which one of the following options is correct?
Diagram for Aerospace Engineering question 27

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Question 28

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A stress field is given by

;

;

, where

and

are non-zero constants. If the stress field satisfies equilibrium, which one of the following options is correct?
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Question 29

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A uniform symmetric cross-section cantilever beam of length

is subjected to a transverse force

at the free end, as shown in the figure. The Young’s modulus of the material is

and the moment of inertia is

. Ignoring the contributions due to transverse shear, the strain energy stored in the beam is ____.
Diagram for Aerospace Engineering question 29

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Question 30

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In the given figure, plate ABCD in its undeformed configuration (solid line) is a rhombus with all the internal angles being 90°. The lengths of the undeformed diagonals are 20 cm. ABCD deforms as shown by the dotted lines. Upon deformation, diagonal AC reduces to 19.96 cm and BD increases to 20.04 cm. In the given x-y coordinate system, the engineering shear strain

is equal to ____.
Diagram for Aerospace Engineering question 30

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Question 31

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and

are the heat and work interactions of a system with its surroundings, and

is the change in the internal energy of the system. For an adiabatic process in a closed, constant pressure combustor, which one of the following options is correct?
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Question 32

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An ideal two-stage rocket has identical specific impulse and structural coefficient for its two stages. For an optimized rocket, the two stages have identical payload ratio as well. The payload is 2 tons and the initial mass of the rocket is 200 tons. The mass of the second stage of the rocket (including the final payload mass) is ____ tons.
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Question 33

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A gaseous fuel mixture comprising 3 moles of methane and 2 moles of ammonia is combusted in X moles of pure oxygen in stoichiometric amount. Assuming complete combustion, with only CO

, H

O and N

in the product gases, the value of X is ____. The displayed reaction is: 3 CH

+ 2 NH

+ X O

→ Products (CO

, H

O, N

).
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Question 34

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The lift per unit span for a spinning circular cylinder in a potential flow is 6 N/m. The free-stream velocity is 30 m/s, and the density of air is 1.225 kg/m

. The circulation around the cylinder is ____ m

/s (rounded off to two decimal places).

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Question 35

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In a centrifugal compressor, the eye tip diameter is 10 cm. For a shaft rotational speed of 490 rotations per second, the tangential speed at the inducer tip is ____ m/s (rounded off to one decimal place).

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