Aerospace Engineering
GATE AE year:2020 PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.
Question 51
Open questionAENAT2 marksNeeds review
A critically damped single degree of freedom spring-mass-damper system used in a door closing mechanism becomes overdamped due to softening of the spring with extended use. If the new damping ratio (
) for overdamped condition is 1.2, the ratio of the original spring stiffness to the new spring stiffness (
), assuming that the other parameters remain unchanged, is ______ (round off to two decimal places).Log in to check the answer
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Open questionAENAT2 marksNeeds review
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).
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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).
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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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