ȼ ɫɥɭɱɚɟ ɨɬɫɭɬɫɬɜɢɹ ɧɟɮɬɹɧɵɯ ɡɚɝɪɹɡɧɟɧɢɣ ɧɚ ɦɨɪɫɤɨɣ ɩɨɜɟɪɯɧɨ
'
ɫɬɢ ɞɥɹ ɨɰɟɧɤɢ ɞɢɫɩɟɪɫɢɣ ɧɚɤɥɨɧɨɜ ɦɨɪɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ ɨɛɵɱɧɨ ɢɫ
'
ɩɨɥɶɡɭɸɬ ɫɥɟɞɭɸɳɢɟ ɫɨɨɬɧɨɲɟɧɢɹ
U+*& ++W4
o
2
u
= 3
,
16
·
10
a
3
U,
o
2
}
= 0
,
003 + 1
,
92
·
10
a
3
U,
"/#
ɝɞɟ
U
ɫɤɨɪɨɫɬɶ ɩɪɢɜɨɞɧɨɝɨ ɜɟɬɪɚ
&
ɦ
)
ɫ
(
ɉɪɢ ɧɚɥɢɱɢɢ ɧɚ ɦɨɪɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ ɧɟɮɬɹɧɵɯ ɡɚɝɪɹɡɧɟɧɢɣ ɞɢɫ
'
ɩɟɪɫɢɢ ɧɚɤɥɨɧɨɜ ɜɟɬɪɨɜɨɝɨ ɜɨɥɧɟɧɢɹ ɭɦɟɧɶɲɚɸɬɫɹ ɜ
-
ɪɚɡɚ
U++W(
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ
&
ɞɥɹ ɨɛɥɚɫɬɢ ɧɟɮɬɹɧɨɝɨ ɡɚɝɪɹɡɧɟɧɢɹ ɢɦɟɟɦ
o
2
u
=
k
·
3
,
16
·
10
a
3
U,
o
2
}
=
k
(0
,
003 + 1
,
92
·
10
a
3
U
)
,
"0#
ɝɞɟ
k
= 1
/
3
(
-(
Ɉɩɪɟɞɟɥɟɧɢɟ ɜɟɥɢɱɢɧɵ ɞɢɫɩɟɪɫɢɢ ɧɚɤɥɨɧɨɜ
o
2
y
ɩɨɩɟɪɟɤ ɧɚɩɪɚɜɥɟ
'
ɧɢɹ ɩɨɥɟɬɚ ɧɨɫɢɬɟɥɹ
(
ȼɨɫɩɨɥɶɡɭɟɦɫɹ ɮɨɪɦɭɥɨɣ
"-#
ɢ ɩɨɥɭɱɢɦ
1
o
2
x
=
cos
2
o
2
u
+
sin
2
o
2
}
.
(
1
)
ȼ ɷɬɨɣ ɮɨɪɦɭɥɟ ɢɡɜɟɫɬɧɚ ɜɟɥɢɱɢɧɚ
o
2
x
"
ɢɡ ɷɤɫɩɟɪɢɦɟɧɬɚɥɶɧɵɯ ɞɚɧ
'
ɧɵɯ ɞɥɹ ɞɜɭɯɭɝɥɨɜɨɣ ɫɯɟɦɵ ɡɨɧɞɢɪɨɜɚɧɢɹ
#
ɢ ɭɝɨɥ
"
ɢɡ ɞɨɩɨɥɧɢɬɟɥɶ
'
ɧɨɣ ɢɧɮɨɪɦɚɰɢɢ
#(
Ⱦɢɫɩɟɪɫɢɢ
o
2
u
&
o
2
}
ɬɚɤɠɟ ɦɨɠɧɨ ɜɵɱɢɫɥɢɬɶ
&
ɟɫɥɢ ɢɡ
'
ɜɟɫɬɧɚ ɜɟɥɢɱɢɧɚ ɫɤɨɪɨɫɬɢ
U
(
Ɉɞɧɚɤɨ ɢɧɮɨɪɦɚɰɢɹ ɨ ɧɟɮɬɹɧɵɯ ɡɚɝɪɹɡ
'
ɧɟɧɢɹɯ ɧɟɢɡɜɟɫɬɧɚ
(
ɋɥɟɞɨɜɚɬɟɥɶɧɨ
&
ɮɨɪɦɭɥɚ
"1#
ɫɨɞɟɪɠɢɬ ɨɞɢɧ ɧɟɢɡ
'
ɜɟɫɬɧɵɣ ɩɚɪɚɦɟɬɪ
ɧɟɢɡɜɟɫɬɧɨ
&
ɱɟɦɭ ɪɚɜɟɧ ɤɨɷɮɮɢɰɢɟɧɬ
k
4
1
/
3
"
ɩɪɢ
ɧɚɥɢɱɢɢ ɧɟɮɬɹɧɵɯ ɡɚɝɪɹɡɧɟɧɢɣ
#&
ɤɚɤɨɣ
'
ɥɢɛɨ ɞɪɭɝɨɣ ɜɟɥɢɱɢɧɟ
"
ɩɪɢ ɧɚ
'
ɥɢɱɢɢ ɞɪɭɝɢɯ ɹɜɥɟɧɢɣ ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ
&
ɫɝɥɚɠɢɜɚɸɳɢɯ ɜɟɬɪɨɜɨɟ ɜɨɥ
'
ɧɟɧɢɟ
#
ɢɥɢ ɟɞɢɧɢɰɟ
"
ɩɪɢ ɨɬɫɭɬɫɬɜɢɢ ɧɟɮɬɹɧɵɯ ɡɚɝɪɹɡɧɟɧɢɣ ɢ ɞɪɭɝɢɯ
ɹɜɥɟɧɢɣ ɧɚ ɩɨɜɟɪɯɧɨɫɬɢ
&
ɫɝɥɚɠɢɜɚɸɳɢɯ ɜɟɬɪɨɜɨɟ ɜɨɥɧɟɧɢɟ
#(
ɉɪɢ ɢɡɜɟɫɬɧɨɣ ɞɨɩɨɥɧɢɬɟɥɶɧɨɣ ɢɧɮɨɪɦɚɰɢɢ ɨ ɫɤɨɪɨɫɬɢ ɢ ɧɚɩɪɚ
'
ɜɥɟɧɢɢ ɩɪɢɜɨɞɧɨɝɨ ɜɟɬɪɚ ɮɨɪɦɭɥɚ
"1#
ɩɨɡɜɨɥɹɟɬ ɨɩɪɟɞɟɥɢɬɶ ɤɨɷɮɮɢɰɢ
'
ɟɧɬ
k
&
ɯɚɪɚɤɬɟɪɢɡɭɸɳɢɣ ɫɝɥɚɠɢɜɚɧɢɟ ɜɨɥɧɟɧɢɹ
"
ɩɨ ɫɪɚɜɧɟɧɢɸ ɫ ɜɨɥɧɟ
'
ɧɢɟɦ ɦɨɪɫɤɨɣ ɩɨɜɟɪɯɧɨɫɬɢ ɛɟɡ ɡɚɝɪɹɡɧɟɧɢɣ
#4
k
=
o
2
x
μ
cos
2
3
,
16
·
10
a
3
U
+
sin
2
0
,
003 + 1
,
92
·
10
a
3
U
¶
.
Ɍɟɩɟɪɶ
&
ɤɨɝɞɚ ɢɡɜɟɫɬɧɵ ɜɟɥɢɱɢɧɵ
k
&
U
& &
ɩɨ ɮɨɪɦɭɥɟ
".#
ɦɨɠɧɨ
ɨɩɪɟɞɟɥɢɬɶ ɜɟɥɢɱɢɧɭ ɞɢɫɩɟɪɫɢɢ
o
2
y
ɞɥɹ ɢɫɫɥɟɞɭɟɦɨɝɨ ɭɱɚɫɬɤɚ ɚɤɜɚ
'
ɬɨɪɢɢ
(
CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+ ,-
