GATE EE 2016 Set 1 — Question 16

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MCQ+1 / -0.33EasyFrequency ResponseFourier Analysis & SamplingSignals & SystemsTransient & Steady-State ResponseTime-Domain AnalysisControl Systems

Control Systems → Fourier Analysis & Sampling → Frequency Response

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Question

The transfer function of a system is Y(s)R(s)=ss+2\frac{Y(s)}{R(s)} = \frac{s}{s+2}. The steady state output y(t)y(t) is Acos⁡(2t+ϕ)A \cos(2t + \phi) for the input cos⁡(2t)\cos(2t). The values of AA and ϕ\phi, respectively are
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