A system is described by the following differential equation: dy, dy dy d'x + 4 dx dx +3 +6 + 8x dt di? dt Find the expression for the transfer function of the system, Y(s)/X(s). [Section: 2.3]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Sage Widh
ngth-
Skill-Assessment Exercise 2.8
BLEM: Find the transfer function, G(s) X2(s)/F(s). for the translational
chanical system shown in Figure 2.21.
Iv, - 1 N-sim
K= I Nm
M =I kg
M2= 1 kg
fv,=I Nsim
Sv,= 1 N-s/m
FIGURE 2.21 Translational
mechanical system for Skil-
Assessment Exercise 28
Transcribed Image Text:Sage Widh ngth- Skill-Assessment Exercise 2.8 BLEM: Find the transfer function, G(s) X2(s)/F(s). for the translational chanical system shown in Figure 2.21. Iv, - 1 N-sim K= I Nm M =I kg M2= 1 kg fv,=I Nsim Sv,= 1 N-s/m FIGURE 2.21 Translational mechanical system for Skil- Assessment Exercise 28
roblems:
Laplace
transform
of
the
followin
frequency functions:[ Section: 2.2]
(s² + 3s + 10)(s+5)
(s+3)(s+4)(s² + 2s+100)
a. G(s) =
1.
%3D
A system is described by the following differential
equation:
d'y
di
d'x
+ y =
dt3
d'y
d'x
dx
+ &r
dt
+3
+4
+6.
dr?
dt
Find the expression for the transfer function of the
2. system, Y(s)/X(s). [Section: 2.3]
For each of the following transfer functions, write
the corresponding differential equation. [Section:
2.3]
X(s)
F(s)
7
а.
s2 + 5s + 10
X (s)
b.
15
%3D
F(s)
(s+ 10)(s +11)
3.
Write the differential equation for the system shown
in Figure P2.1. [Section: 2.3]
Transcribed Image Text:roblems: Laplace transform of the followin frequency functions:[ Section: 2.2] (s² + 3s + 10)(s+5) (s+3)(s+4)(s² + 2s+100) a. G(s) = 1. %3D A system is described by the following differential equation: d'y di d'x + y = dt3 d'y d'x dx + &r dt +3 +4 +6. dr? dt Find the expression for the transfer function of the 2. system, Y(s)/X(s). [Section: 2.3] For each of the following transfer functions, write the corresponding differential equation. [Section: 2.3] X(s) F(s) 7 а. s2 + 5s + 10 X (s) b. 15 %3D F(s) (s+ 10)(s +11) 3. Write the differential equation for the system shown in Figure P2.1. [Section: 2.3]
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