Mechanical Engineering > GATE 2022 SET-2 > Damped Systems

For a dynamical system governed by the equation,

mẍ(t) + 2ζωnẋ(t) + ωn2x(t) = 0,

the damping ratio ζ is equal to (1 / 2π) loge 2. The displacement x of this system is measured during a hammer test. A displacement peak in the positive displacement direction is measured to be 4 mm. Neglecting higher powers (>1) of the damping ratio, the displacement at the next peak in the positive direction will be ___________ mm (in integer).

A
a
B
a
C
a
D
a

Explanation

Correct :

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