Consider a system described by the following set of coupled dynamic equations: 5x1 = -3x1 + 2x2 2x2 = -9x2 + 4ƒ(t) Notice that this set of equations is coupled (because of the x2(t) term in eq. 1), however, since there are no x1(t) terms in eq. 2, x1(t) does not directly influence the value of x2(t). a. Think of an example of a physical system where this may be true b. Draw the block diagram(s) for this system if f(t) is the input to the system. Note: You only need to include terms that will directly effect the output. X(s) F(s) functions have a different denominator. What is the expected characteristic behavior of x1(t) and x2(t)? X;(s) F(s) Xa(s) F(s) c. Write out each of the Transfer Functions, and for this system, compare the block diagram and the transfer functions F(s) describe why the two transfer and

Elements Of Electromagnetics
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Please help answer the question shown in the photo. The topic is System Dynamics, Mechanical Engineering. I do not know how to solve it. Please explain all steps clearly and how you solved it. Any help will be much appreciated. Thank you!

Consider a system described by the following set of coupled dynamic equations:
= -3x1 + 2x2
2x2
= -9x2 + 4ƒ (1)
Notice that this set of equations is coupled (because of the x2(t) term in eq. 1), however, since there are no x1(t) terms in eq. 2, x1(t) does not directly influence the value of x2(t).
a. Think of an example of a physical system where this may be true
b. Draw the block diagram(s) for this system if f(t) is the input to the system. Note: You only need to include terms that will directly effect the output.
X, (s)
F(s)
functions have a different denominator. What is the expected characteristic behavior of x1(t) and x2(t)?
X2 (s)
for this system, compare the block diagram and the transfer functions
F(s)
X, (s)
X2 (s)
describe why the two transfer
F(s)
c. Write out each of the Transfer Functions,
and
and
F(s)
Transcribed Image Text:Consider a system described by the following set of coupled dynamic equations: = -3x1 + 2x2 2x2 = -9x2 + 4ƒ (1) Notice that this set of equations is coupled (because of the x2(t) term in eq. 1), however, since there are no x1(t) terms in eq. 2, x1(t) does not directly influence the value of x2(t). a. Think of an example of a physical system where this may be true b. Draw the block diagram(s) for this system if f(t) is the input to the system. Note: You only need to include terms that will directly effect the output. X, (s) F(s) functions have a different denominator. What is the expected characteristic behavior of x1(t) and x2(t)? X2 (s) for this system, compare the block diagram and the transfer functions F(s) X, (s) X2 (s) describe why the two transfer F(s) c. Write out each of the Transfer Functions, and and F(s)
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