Questions 241–250 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 25 of 65

Question 46

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For an airfoil, which of the relations given about the critical Mach number

and drag divergence Mach number

is/are correct?
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Question 47

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Which of the following statement(s) about the elastic flexural buckling load of columns is/are correct?
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Question 48

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AENAT2 marksNeeds review
The thickness of a uniform hollow circular shaft is equal to the difference between the outer radius and the inner radius. The ratio of the inner diameter to outer diameter of the shaft is 0.5. For the shaft reacting to an applied torque, the ratio of the maximum shear stress

to the maximum shear stress

obtained using the thin-wall approximation is ______. (round off to one decimal place)

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Question 49

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A rigid bar AB is subjected to a uniformly distributed load of 100 N/m as shown in the figure. The bar is supported by rod CD, with A, C, and D as pin joints. The rod CD has axial stiffness of 40 N/mm. The vertical deflection at point D is __________ mm. (round off to nearest integer)
Diagram for Aerospace Engineering question 49


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Question 50

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AENAT2 marksNeeds review
A cantilever beam of length

is loaded at the tip with force

as shown in the figure. The beam is supported in the middle by a roller with a pin. The magnitude of moment reaction at the built-in end of the beam is

, where

is _____. (round off to one decimal place)
Diagram for Aerospace Engineering question 50


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Question 51

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A single degree-of-freedom spring-mass-damper system has viscous damping ratio of 0.1. The mass is given an initial displacement of 10 cm without imparting any velocity. After exactly two complete cycles of oscillation (i.e., after time

, where

is the period of the damped vibration), the amplitude of the displacement is _____ cm. (round off to two decimal place)

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Question 52

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The shear flow distribution in a single cell, thin-walled beam under the action of an arbitrary shear load

applied at the shear centre S is shown in the figure. The cell has horizontal symmetry with booms marked by 1 to 4 that carry direct stresses. The shear modulus G is the same for all the walls, and the area of the cell is 13000 mm

. With respect to the point O marked in the figure, the distance to the shear centre S is _____ mm. (round off to the nearest integer)
Diagram for Aerospace Engineering question 52


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Question 53

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Consider a thin-walled cylindrical pressure vessel made of an alloy with yield strength of 300 MPa. The vessel has end caps to contain the pressure. The ratio of radius of the vessel to its wall thickness is 100. As per the von Mises yield criterion, the internal pressure that would cause the failure of the vessel is _____ MPa. (round off to two decimal places)

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Question 54

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Consider the differential equation

with initial conditions

at

. The value of y at

is _____. (round off to two decimal places)

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Question 55

Open question
AENAT2 marksNeeds review
The operating characteristics of a pump were measured to be

, where power coefficient

,

is the flow coefficient,

is a constant, D is a length scale,

is the rotation rate,

is fluid density, and P is the power required. The flow coefficient is a dimensionless volume flow rate scaled with

and D. Assuming that the flow rate remains the same, if the rotation rate is increased to

, the power changes to

. The value of

is _______. (round off to two decimal places)

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