GATE AE 2021 Paper 1 — page 10

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

Given that

is the unit circle in the counter-clockwise direction with its center at origin, the integral

______ (round off to three decimal place).

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A single degree of freedom spring-mass-damper system is designed to ensure that the system returns to its original undisturbed position in minimum possible time without overshooting. If the mass of the system is 10 kg, spring stiffness is 1740 N/m and the natural frequency is 13.2 rad/s, the coefficient of damping of the system in Ns/m is ______ (round off to nearest integer).

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Two cantilever beams (Beam 1 and Beam 2) are made of same homogenous material and have identical cross sections. Beam 1 has length

and Beam 2 has length

. Ratio of the first natural frequency of Beam 1 to that of Beam 2 is ______ (round off to nearest integer).

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2021 · Paper 1

Question 18

Question 19

Question 20