GATE AE Special Topics PYQs & Answers — Page 3

Questions 21–23 of 23. Imported answers require independent review unless marked reviewed.

An aircraft wind tunnel model, having a pitch axis mass moment of inertia (

) of 0.014 kg-m

, is mounted in such a manner that it has pure pitch motion about its centre of gravity, where it is supported through a frictionless hinge. If the pitching moment (M) derivative with respect to angle of attack (

), denoted by

, is −0.504 N-m/rad and the pitching moment (M) derivative with respect to pitch rate (q), denoted by

, is −0.036 N-m/(rad/s), the damping ratio of the resulting motion due to an initial disturbance in pitch angle is approximately ________ (accurate to three decimal places).

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3-point Gaussian integration formula is given by:

with

;

. This formula exactly integrates

Your answerChoose one option.

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The roots obtained by solving longitudinal characteristic equations of motion for a statically stable aircraft are given below:

, where

The undamped short-period longitudinal natural frequency (radians/sec) and damping ratio, in that order, are close to

Your answerChoose one option.

3.40, 0.73

3.36, 0.65

3.83, 0.56

3.20, 0.63

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GATE AE Special Topics PYQs

Question 55

Question 5

Question 42