GATE AE format:nat PYQs & Answers — Page 18

Questions 171–180 of 266. Imported answers require independent review unless marked reviewed.

Topic practice 266 questionsPage 18 of 27

The two masses of the two degree of freedom system shown in the figure are given initial displacements of 2 cm (

) and 1.24 cm (

). The system starts to vibrate in the first mode. The first mode shape of this system is

, where

______ (round off to two decimal places).

Diagram for Aerospace Engineering question 52

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As shown in the figure, a beam of length 1 m is rigidly supported at one end and simply supported at the other. Under the action of a uniformly distributed load of 10 N/m, the magnitude of the normal reaction force at the simply supported end is ______ N (round off to two decimal places).

Diagram for Aerospace Engineering question 53

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An airplane of mass 400 kg and wing reference area 25 m² flying at sea level has a maximum lift coefficient of 1.65. Assume density of air as 1.225 kg/m³ and acceleration due to gravity as 9.8 m/s². Using a factor of safety of 1.25 to account for additional unsteady lift during a sudden pull-up, the speed at which the airplane reaches a load factor of 3.2 is ______ m/s (round off to two decimal places).

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A Pitot tube mounted on the wing tip of an airplane flying at an altitude of 3 km measures a pressure of 0.72 bar, and the outside air temperature is 268.66 K. Take the sea level conditions as, pressure = 1.01 bar, temperature = 288.16 K, and density = 1.225 kg/m³. The acceleration due to gravity is 9.8 m/s² and the gas constant is 287 J/(kg K). Assuming standard atmosphere, the equivalent airspeed for this airplane is ______ m/s (round off to two decimal place).

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A function

is defined by

. The value of

is ______ (round off to 1 decimal place).

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The value of the following limit is ______ (round off to 2 decimal places).

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To simulate the aerodynamic forces on a cylinder of 1 m diameter due to a uniform air flow of 1 m/s at standard temperature and pressure (STP), low-speed wind tunnel experiments at STP are conducted on a 0.1 m diameter cylinder. The free stream air speed in the wind tunnel experiments should be ______ m/s (round off to the nearest integer).

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The power-off glide range for an airplane with a maximum Lift to Drag ratio of 18, when the glide starts at an altitude of 4 km, is ______ km (round off to the nearest integer).

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For an airplane flying in a vertical plane, the angle of attack is 3°, the horizontal and vertical components of velocity in wind axis are 300 km/h and 15.72 km/h, respectively. The pitch attitude of the airplane is ______ degrees (round off to 2 decimal places).

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An airplane is in steady level flight with a true air speed of 50 m/s. The ambient air density and ambient pressure at the flight altitude are 0.91 kg/m

and

N/m

, respectively. At sea level, air density is 1.225 kg/m

and ambient pressure is

N/m

. The equivalent or indicated air speed of the airplane is ______ m/s (round off to 2 decimal places).

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GATE AE format:nat PYQs

Question 52

Question 53

Question 54

Question 55

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19