NOTE Problems with Solutions The problems in this section address the major concepts of this chapter. On the Companion Website there are many related homework problems which can be used to review and practice. Most of them have detailed solutions. P-2.1 Define x (1) as x(t) = 9 cos(100πt +0.47) Make a plot of x (t) over the range -0.02 ≤ t ≤0.02. P-2.2 Figure P-2.2 is a plot of a sinusoidal wave. From the plot, determine values for the amplitude (A), phase (p), and frequency (wo) needed in the representation: x(t) = A cos(@ot + p) Give the answer as numerical values, including the units where applicable.
NOTE Problems with Solutions The problems in this section address the major concepts of this chapter. On the Companion Website there are many related homework problems which can be used to review and practice. Most of them have detailed solutions. P-2.1 Define x (1) as x(t) = 9 cos(100πt +0.47) Make a plot of x (t) over the range -0.02 ≤ t ≤0.02. P-2.2 Figure P-2.2 is a plot of a sinusoidal wave. From the plot, determine values for the amplitude (A), phase (p), and frequency (wo) needed in the representation: x(t) = A cos(@ot + p) Give the answer as numerical values, including the units where applicable.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
Please assist with problem 2.2 in the image with details on how to do it. Thank you.
Transcribed Image Text:brus
2-10 Problems
AM
NOTE
Problems with Solutions
The problems in this section address the major concepts of this chapter. On the Companion
Website there are many related homework problems which can be used to review and
practice. Most of them have detailed solutions.
P-2.1 Define x (t) as
x (t) = 9 cos (100лt +0.4л)
Make a plot of x (t) over the range -0.02 ≤ t ≤0.02.
P-2.2 Figure P-2.2 is a plot of a sinusoidal wave. From the plot, determine values for
the amplitude (A), phase (p), and frequency (wo) needed in the representation:
x (t) = A cos(wot + p)
Give the answer as numerical values, including the units where applicable.
8 F:
4
x (t) 0
-4
-8
-15
-10
-5
10
15
0
5
Time t (ms)
Figure P-2.2
P-2.3 Make a carefully labeled sketch for each of the following functions:
(a) Sketch cos for values of 0 in the range -3 ≤ 0 ≤ 3.
(b) Sketch cos(20лt) for values of t such that two periods of the function are shown.
(c) Sketch сos (2лt/To+n/2) for values of t such that -To ≤ t ≤ To, so that two
periods of the function will be shown. Label the horizontal axis in terms of the
parameter To.
21
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