11. Consider a system that can be modeled as shown. The input x in (t) is a prescribed motion at the right end of spring k 2. Find X(s) Xeg(s)* the system transfer function

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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11. Consider a system that can be modeled
as shown. The input x in (t) is a prescribed
motion at the right end of spring k 2. Find
X(s)
the system transfer function
Xeq(s)*
m
k₂
ww
Xin
The values of the parameters are m= 30 kg,
k ₁=700 N/m, k 2= 1300 N/m, and b=200 N-
s/m. Write a MATLAB script file that: (a)
calculates the natural frequency, damping
ratio, and damped natural frequency for the
system; and (b) uses the impulse
command to find and plot the response of
the system to a unit impulse input.
Transcribed Image Text:11. Consider a system that can be modeled as shown. The input x in (t) is a prescribed motion at the right end of spring k 2. Find X(s) the system transfer function Xeq(s)* m k₂ ww Xin The values of the parameters are m= 30 kg, k ₁=700 N/m, k 2= 1300 N/m, and b=200 N- s/m. Write a MATLAB script file that: (a) calculates the natural frequency, damping ratio, and damped natural frequency for the system; and (b) uses the impulse command to find and plot the response of the system to a unit impulse input.
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