EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Textbook Question
Chapter 8, Problem 8.18P
Obtain the response of the following models with the initial conditions: x(0) = 0 and x(0) = 1.
- x + 4x + 8x = 0
- x + 8x + 12x = 0
- x + 4x + 4x = 0
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Find the response X1(t) , X2(t)
2) Consider the transfer function of a system below. Please find the range of K for stability:
K
G(s) =
(s + 3)(s + 8)(s + 10)(s + 1) + K
Task 1:
A mechanical system is shown in the figure below. This system consists of a damper (b), spring (k)
and mass (m). A force f(t) can be applied on this system in order to move the mass a specific distance
value (x). This system is governed by the following three equations:
d²x(t)
f₁(t) = m
dt²
f₂(t) = b
dx(t)
dt
f3 (t) = kx
b
m
F
Chapter 8 Solutions
EBK SYSTEM DYNAMICS
Ch. 8 - Prob. 8.1PCh. 8 - Suppose the rocket motor in Problem 8.1 takes 0.04...Ch. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - Prob. 8.5PCh. 8 - Prob. 8.6PCh. 8 - Prob. 8.7PCh. 8 - Prob. 8.8PCh. 8 - The liquid-level system shown in Figure 8.1.2d has...Ch. 8 - The immersed object shown in Figure 8.1.2e is...
Ch. 8 - Prob. 8.11PCh. 8 - Prob. 8.12PCh. 8 - Prob. 8.13PCh. 8 - Prob. 8.14PCh. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Obtain the response of the following models with...Ch. 8 - Prob. 8.19PCh. 8 - Prob. 8.20PCh. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Prob. 8.23PCh. 8 - If applicable, compute <, r, a>„, and iod for the...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - 8.27 Given the model
,v — (/z + 2)i + (2/z + 5)x =...Ch. 8 - Prob. 8.28PCh. 8 - Prob. 8.29PCh. 8 - 8.30 The characteristic equation of a certain...Ch. 8 - Prob. 8.31PCh. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Prob. 8.34PCh. 8 - Prob. 8.35PCh. 8 - Derive the fact that the peak time is the same for...Ch. 8 - Prob. 8.37PCh. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Prob. 8.42PCh. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Prob. 8.45P
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