MATERIALS SCI + ENGR: INT W/ACCESS
10th Edition
ISBN: 9781119808084
Author: Callister
Publisher: WILEY
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Chapter 9, Problem 54QAP
To determine
The proeutectoid phase for an iron-carbon alloy where the mass fraction of total ferrite is
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3. You have come to encounter an LTI system. You have no idea how the system
behaves. So, you decide to drive the system with a particular input and measure the
output. When you put the input u(t) = et 1(t), you find that the output y(t) =
(1-e) 1(t). You can assume zero initial conditions. Now, find the transfer
function of the system.
1. Consider the following LTI system.
d²y
dy
du
+7
+6y=
--
+2u,
t≥0
dt²
dt
dt
a) What is the impulse response of the system? Recall, h(t) = L-¹(H(s)).
b) What are poles and zeros of the system?
c) Suppose the initial condition of the system is y(0) = 1 and y'(0) = 4. What
is the zero-input response of the system?
d) Consider an input u(t) = (1 + et) 1(t) to the system. What is the zero-state
response of the system for this input?
e) Suppose, the initial condition was y(0) = -2 and y'(0) = -8 and the input is
u(t)=(1+e) 1(t). What will be the total response of the system? You
should be able to answer this using the linearity property of the system and your
answers in part b and part c without taking any inverse Laplace transform.
Given a normally distributed variable X with mean 4 and standard deviation 2, fi
(a) P(X5). (d) P(1.8
Chapter 9 Solutions
MATERIALS SCI + ENGR: INT W/ACCESS
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