Given: lambda = 10 m, mass of the vehicle, m= 1000kg, k=9000 N/m, speed 60/2pi m/s. Interpret this graph for me. What happens if we go to the right? What happens if we go to the left? If we want to have a great magnitude of vibrations according to the graph should we increase or decrease our speed? explain. What if b is decreasing but we maintain our speed would b decrease or increase the magnitude? Why? If we are driving at the speed that always maximizes the magnitude of the shaking will decreasing b increase or decrease magnitude? **4.5 System Identification**The graph illustrates "displacement transmissibility" as a function of the frequency ratio (\(\omega/\omega_n\)) and the damping ratio (\(\zeta\)). The x-axis represents the frequency ratio, ranging from 0 to 5, while the y-axis represents displacement transmissibility, ranging from 0 to 2.5.Five curves are plotted for different damping ratios:- \(\zeta = 0.2\) (solid line)- \(\zeta = 0.4\) (dashed line)- \(\zeta = 0.6\) (dotted line)- \(\zeta = 0.8\) (dash-dotted line)- \(\zeta = 1.0\) (dash-double dotted line)As the damping ratio decreases (\(\zeta\) approaches 0.2), the peak of displacement transmissibility becomes more pronounced. Conversely, as the damping ratio increases (\(\zeta\) approaches 1.0), the peak flattens and broadens, indicating different system responses to excitation at varying frequency ratios.**Fig. 4.20** Displacement transmissibility as a function of frequency ratio and damping ratio.

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Answered: Given: lambda = 10 m, mass of the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Given: lambda = 10 m, mass of the vehicle, m= 1000kg, k=9000 N/m, speed 60/2pi m/s. Interpret this graph for me. What happens if we go to the right? What happens if we go to the left? If we want to have a great magnitude of vibrations according to the graph should we increase or decrease our speed? explain. What if b is decreasing but we maintain our speed would b decrease or increase the magnitude? Why? If we are driving at the speed that always maximizes the magnitude of the shaking will decreasing b increase or decrease magnitude?

**4.5 System Identification**

The graph illustrates "displacement transmissibility" as a function of the frequency ratio (\(\omega/\omega_n\)) and the damping ratio (\(\zeta\)). The x-axis represents the frequency ratio, ranging from 0 to 5, while the y-axis represents displacement transmissibility, ranging from 0 to 2.5.

Five curves are plotted for different damping ratios:

- \(\zeta = 0.2\) (solid line)
- \(\zeta = 0.4\) (dashed line)
- \(\zeta = 0.6\) (dotted line)
- \(\zeta = 0.8\) (dash-dotted line)
- \(\zeta = 1.0\) (dash-double dotted line)

As the damping ratio decreases (\(\zeta\) approaches 0.2), the peak of displacement transmissibility becomes more pronounced. Conversely, as the damping ratio increases (\(\zeta\) approaches 1.0), the peak flattens and broadens, indicating different system responses to excitation at varying frequency ratios.

**Fig. 4.20** Displacement transmissibility as a function of frequency ratio and damping ratio.

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what happens when w/wn > than sqrt(2)? what happens to the damping and why did it switch, like the lower the damping the lower the vibrations? What does the magnitude directly impact?

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