Graphics Programs Reference
In-Depth Information
x
6
4
x
5
8
x
4
34
x
3
57
x
2
12.
P
6
(
x
)
=
+
−
−
+
+
130
x
−
150
.
8
x
7
28
x
6
34
x
5
13
x
4
124
x
3
19
x
2
13.
P
7
(
x
)
=
+
+
−
−
+
+
220
x
−
100
.
x
8
7
x
7
7
x
6
25
x
5
24
x
4
98
x
3
472
x
2
14.
P
8
(
x
)
=
−
+
+
+
−
−
+
440
x
+
800
.
x
4
i
)
x
3
5
i
)
x
2
15.
P
4
(
x
)
=
+
(5
+
−
(8
−
+
(30
−
14
i
)
x
−
84
.
16.
k
m
x
1
k
c
m
x
2
The two blocks of mass
m
each areconnectedbysprings and a dashpot. The
stiffness of each spring is
k
, and
c
is the coefficientofdamping of the dashpot.
When the systemis displacedand released, the displacementofeach block during
the ensuing motion has the form
A
k
e
ω
r
t
cos(
x
k
(
t
)
=
ω
i
t
+
φ
k
),
k
=
1
,
2
where
A
k
and
φ
k
areconstants, and
ω
=
ω
r
±
i
ω
i
are the roots of
k
m
2
2
c
3
k
c
m
k
m
ω
+
4
3
2
ω
+
m
ω
+
m
ω
+
=
0
12 s
−
1
and
k
Determine the two possible combinationsof
ω
r
and
ω
i
if
c
/
m
=
/
m
=
1500 s
−
2
.
MATL AB Functions
x = fzero(@func,x0)
returns the zero of the function
func
closest to
x0
.
x = fzero(@func,[a b])
can be usedwhen the root has beenbracketedin(
a,b
).
The algorithmused for
fzero
is Brent's method.
a
1
x
n
x = roots(a)
returns the zeros of the polynomial
P
n
(
x
)
=
+···+
a
n
x
+
a
n
+
1
.
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