GATE AE topic:structural-dynamics PYQs & Answers — Page 3

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Questions 21–28 of 28. Imported answers require independent review unless marked reviewed.

Topic practice 28 questionsPage 3 of 3

For the system of springs and masses shown below,

N/m and

kg. The highest natural frequency,

, of the system is _____ radians/s (round off to the nearest integer).

Diagram for Aerospace Engineering question 55

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For a damped single degree of freedom system with damping ratio of 0.1, ratio of two successive peak amplitudes of free vibration is ________ (accurate to two decimal places).

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The natural frequency (in rad/s) of the spring-mass system shown in the figure below is ____ (accurate to one decimal place).

Diagram for Aerospace Engineering question 23

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A 1 m long massless cantilever beam oscillates at 2 Hz, while a 60 kg mass is attached at the tip of it. The flexural rigidity of the beam (in kN-m

) is __________________ (accurate to two decimal places).

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A 2-DOF undamped spring-mass system with two masses and two springs has natural frequencies

rad/s and

rad/s. The mode shapes for the system are given by

and

. If the first mass is displaced by 1 cm, the minimum displacement in cm to be given to the second mass to make the system vibrate in first mode alone is __________ (in three decimal place).

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An aircraft landing gear can be idealized as a single degree of freedom spring-mass-damper system. The desirable damping characteristics of such a system is:

Your answerChoose one option.

Under damped

Over damped

Critically damped

Undamped

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A single degree of freedom spring-mass system of natural frequency 5 Hz is modified in the following manners: Case 1: Viscous damping with damping ratio

is introduced in parallel to the spring. Case 2: The original undamped spring-mass system is moved to a surface with coefficient of friction,

. The ratio of the damped natural frequency for the cases 1 and 2 is given by __________ (in three decimal places).

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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).

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GATE AE topic:structural-dynamics PYQs

Question 55

Question 22

Question 23

Question 50

Question 22

Question 23

Question 24

Question 55