GATE AE format:nat PYQs & Answers — Page 9

Questions 81–90 of 266. Imported answers require independent review unless marked reviewed.

Topic practice 266 questionsPage 9 of 27

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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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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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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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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Consider the differential equation

with initial conditions

. The value of y at

is _____. (round off to two decimal places)

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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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A thin cambered airfoil has lift coefficient

at an angle of attack

. Assuming that stall occurs at much larger

, the

is _______. (round off to two decimal places)

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In a potential flow, a uniform stream of strength U directed along the x-axis and four line sources (2-dimensional) of strengths

are placed along the x-axis at x = 0, 1, 2 and 3, respectively. The strength of an additional line source to be placed at x = 4 such that a closed streamline encircles all five sources is _____. (round off to two decimal places).

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Enstrophy is defined as the square of the magnitude of vorticity. For the three-dimensional velocity field

the enstrophy at location (1, 1, 1) is _______. (round off to two decimal places)

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An airplane with wing planform area of 20 m

and weight 8 kN is flying straight and level with a speed of 100 m/s. The total drag coefficient is 0.026 and the air density is 0.7 kg/m

. The total thrust required to introduce a steady climb angle of 0.1 radians is ___ N. (round off to the nearest integer)

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GATE AE format:nat PYQs

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59