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GATE2015-2-36

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A single-degree-freedom spring-mass system is subjected to a sinusoidal force of $10$ $N$ amplitude and frequency $ω$ along the axis of the spring. The stiffness of the spring is $150$ $N/m$, damping factor is $0.2$ and the undamped natural frequency is $10ω$. At steady state, the amplitude of vibration (in $m$) is approximately

  1. $0.05$
  2. $0.07$
  3. $0.70$
  4. $0.90$
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