GATE AE year:2017 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

An aircraft wing is idealized as a cantilever beam of constant width and length

with a tip mass of weight

(Newtons) and has a uniformly distributed loading of

(Newtons/m) as shown in the figure. Flexural rigidity = EI and

. The upward deflection of the tip of the aircraft wing under the given loading can be expressed as:

. The value of

is ________ (in three decimal places).

Diagram for Aerospace Engineering question 51

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For the state of plane stress shown in the figure, the minimum principal stress is

. The normal stress

is equal to ________ (round to nearest integer).

Diagram for Aerospace Engineering question 52

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The maximum normal stress in MN/m² for the thin walled beam of square cross section of outer dimension 120 mm x 120 mm and wall thickness 1 mm under the action of moment

Nm as shown in the figure is ________ (in three decimal places).

Diagram for Aerospace Engineering question 53

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The idealized cross section of a thin-walled wing box structure shown in the figure is subjected to an anticlockwise torque of 10 kNm. The corresponding shear-flow distribution under this loading condition is shown in the figure. The area of each cell is

mm² and

mm². The ratio of the unknown

is given by ________ (in three decimal places).

Diagram for Aerospace Engineering question 54

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The natural frequency of the system suspended by two identical springs of stiffness

as shown in the figure is given by

for small displacement. Both the springs make an angle of 45° with the horizontal. The value of

is ________ (in two decimal places).

Diagram for Aerospace Engineering question 55

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The ninth and the tenth of this month are Monday and Tuesday ____________.

Your answerChoose one option.

figuratively

retrospectively

respectively

rightfully

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It is __________ to read this year’s textbook __________ the last year’s.

Your answerChoose one option.

easier, than

most easy, than

easier, from

easiest, from

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A rule states that in order to drink beer, one must be over 18 years old. In a bar, there are 4 people. P is 16 years old, Q is 25 years old, R is drinking milkshake and S is drinking a beer. What must be checked to ensure that the rule is being followed?

Your answerChoose one option.

Only P’s drink

Only P’s drink and S’s age

Only S’s age

Only P’s drink, Q’s drink and S’s age

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Fatima starts from point P, goes North for 3 km and then East for 4 km to reach point Q. She then turns to face point P and goes 15 km in that direction. She then goes North for 6 km. How far is she from point P, and in which direction should she go to reach point P?

Your answerChoose one option.

8 km, East

12 km, North

6 km, East

10 km, North

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500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329), Physics (186), Mathematics (295), Chemistry and Physics (83), Chemistry and Mathematics (217), and Physics and Mathematics (63). How many students are taking all 3 subjects?

Your answerChoose one option.

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GATE AE year:2017 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60