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(3a) Create a MATLAB program similar to CSD_fig2p10_code.m to draw the Bode plot of the system G(s) = V(s) F(s) 10 S+1 with frequency

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(3a) Create a MATLAB program similar to CSD_fig2p10_code.m to draw the Bode plot of the system G(s) = V(s) F(s) 10 S+1 with frequency ranging from 0.1 rad/s to 10 rad/s. On the graph, specify the values of the magnitude |G (j)| in dB and the phase ZG(j) in degrees for the following three frequencies: dB = 1 rad/s, @ = 0.1 rad/s, and @ = 10 rad/s. (6%) (3b) Assume the input is a sinusoidal function f (t) = cos @ct = cost. Find and plot (using MATLAB) the resulting steady-state sinusoidal response in the form of vs (t) = Acos(@ct + 0) using the information obtained from the Bode plot in (3a). On the graph, specify the amplitude change and the phase shift of Vss (t) = Acos(@ct + 0) relative to the input f(t). (3%) (3c) Assume the input is a sinusoidal function f(t) = cos @t = cos 0.lt. Find and plot (using MATLAB) the resulting steady-state sinusoidal response in the form of vs (t) = Acos(@t + 0) using the information obtained from the Bode plot in (3a). On the graph, specify the amplitude change and the phase shift of Vs (t) = Acos(@t + 0) relative to the input f(t). (3%) SS (3d) Assume the input is a sinusoidal function f(t) = cos @_t = cos10t. Find and plot (using MATLAB) the resulting steady-state sinusoidal response in the form of V (t) = Acos(@t + 0) using the information obtained from the Bode plot in (3a). On the graph, specify the amplitude change and the phase shift of Vss (t) = cos(@t +0) relative to the input f(t). (3%) (3e) Comment on the frequency domain physical meaning of the system based on your observation of the results in (3a), (3b), (3c), and (3d). (5%)

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