Aerospace Engineering > GATE 2026 > Vibrations
The response x(t) of a freely vibrating single degree of freedom underdamped system is given below. In the equation, A and Ο† are constants. The damping ratio of the system is ________ (rounded off to 3 decimal places).
x(t) = A eβˆ’5t sin(10t + Ο†)

Correct : 0.447

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underdamped system x(t) equation GATE Aerospace Engineering 2026 damping ratio calculation single degree of freedom vibration free vibration system GATE 2026 Aerospace vibration analysis underdamped system equation

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