Answered: Determine the frequency and damping…

Determine the frequency and damping ratio of the poles from the given pz-map. natural Also determine the transfer function of the system and state whether system is underdamped,

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

3
0:7
-0.56,
0.42. 0.28 0.14
2.5
Determine the
frequency and damping
ratio of the poles from the
given pz-map.
natural
2-0.82
1.5
0.91
1-
0.975
0,5
• Also determine the transfer
function of the system and
state whether system is
underdamped,
overdamped, undamped or
critically damped.
0.975
0:5
-1
-0.91.
1.5
-2 F0.82
-0.56
2.5
0.42--.0.28 0.14
0.7
-3
-3
-2.5
-2
-1.5
-1
-0.5

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Step 1: Calculating the Natural Frequency of Poles From PZ-map

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Step 2: Calculating the Damping Ratio of Poles From PZ-map

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Step 3: State Whether System is underdamped, overdamped, undamped or critically damped.

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