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GATE Mechanical Engineering (ME) 2022 Shift 2 Solved Paper

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Question : 31

Total: 65

For a dynamical system governed by the equation,

(t)+ωn2x(t)=0
the damping ratio ζ is equal to ‌

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).

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