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Chapter 4
0
0.5
1
1.5
0.2
0.4
0.6
0.8
1

A
(
V
)

0
.
73
•
V
Figure 4–A
: The graph of the function

A
(
V
)

.
−
C
3
sin
π
2
V
+
C
4
cos
π
2
V
=
V
V
2
−
1
cos
π
V
+
V
V
2
−
1
=
2
V
V
2
−
1
cos
2
π
2
V
.
The solution of this system is
C
3
=0
,C
4
=
2
V
V
2
−
1
cos
π
2
V
.
So,
y
2
(
t
)=
2
V
V
2
−
1
cos
π
2
V
sin
t.
(b)
The graph of the function

A
(
V
)

=
±
±
±
±
2
V
V
2
−
1
cos
π
2
V
±
±
±
±
is given in Figure 4A. From this graph, we ±nd that the most violent shaking of the
vehicle (the maximum of

A
(
V
)

) happens when the speed
V
≈
0
.
73 .
47.
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 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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