assign11 - block y k 2 m y x k 1 b 2 b 1(a What is the...

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SYSC 3600 – Assignment #10 1/. The Bode plot for a system is (a) What will the system’s steady state output be if the input is 10 u ( t ) + 20cos(50 t )? (b) What will the steady state output be if the input is 500sin(10000t+34”)? (c) What is the system’s transfer function? 2/. The transfer function of a system is ) 600 )( 100 )( 40 ( ) 16 ( 2 + + + + s s s s Calculate the steady state gain and the phase shift (assuming a sinusoidal input) for ω = 1, 4, 10, and 100, and 600 radians/second. Put your results in the form of a table. Sketch the amplitude portion of the Bode plot for the system (showing the slopes of the various line segments) and explain what happens at ω = 4.
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3/. A block is mounted between two walls, one of which vibrates. The system input is the displacement of the vibrating wall ( x ) and the system output is the displacement of the
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Unformatted text preview: block ( y ). k 2 m y x k 1 b 2 b 1 (a) What is the system’s transfer function? (b) Assuming that m = 100 kg, b 1 = 0.5 N-s/m, b 2 = 1.5 N-s/m, k 1 = 5000 N/m and k 2 = 3995000 N/m, what will the peak to peak amplitude of the block’s vibrations be if x ( t ) = 0.002cos(200 t )? What will the peak to be peak amplitude be if x ( t ) = 0.002cos(3000 t )? (c) Assuming the same values, use the asymptote approach to create a reasonably accurate Bode plot (magnitude and phase) for the system. Once you have finished your masterpiece, check that it reasonable by producing another plot using Matlab. Submit both your plot and the Matlab plot. 4/. The transfer function of a system is ) 200 )( 20 ( 10 + + s s s Using the asymptote approach, sketch a Bode plot (magnitude and phase) for the system....
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