1. Find the transfer function() (in the Laplace domain) of the system. II. Use the Routh-Hurwitz stability criterion (or otherwise) to show whether the transfer function in Q3(1) is stable.
1. Find the transfer function() (in the Laplace domain) of the system. II. Use the Routh-Hurwitz stability criterion (or otherwise) to show whether the transfer function in Q3(1) is stable.
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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LAPLACE TRANSFORM .need only handwritten solution .otherwise downvote.
Transcribed Image Text:Consider the following rotational mechanical system. Suppose K₁ K₂ = 3 N-m/rad,
D₁ D₂ = 2 N-m-s/rad, and J₁ = 1 kg-m². Assume zero initial conditions.
7
T(t) 0₁ (t)
Ou
J₁
www
K2
K₁
www
D₁
D2
0₁ (8)
1. Find the transfer function
(in the Laplace domain) of the system.
T(s)
II. Use the Routh-Hurwitz stability criterion (or otherwise) to show whether the transfer function in
Q3(1) is stable.
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Step 1: Write the given data and what is to find.
VIEWStep 2: Draw the torsional diagram for J1 and find the Laplace transform
VIEWStep 3: Draw the torsional diagram for JO and find the Laplace transform
VIEWStep 4: Substitute the above value in equation (1) to determine the transfer function
VIEWStep 5: Determine whether the transfer function is stable or not.
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