- 5
.
: R = 72 O z, (x O y) (.5.1) O ( ).
:
, , , .
.5.1 , .
, , ͻ,
= + A sin k t, , A , k : =0 ;
A = 36 , k= . 1 = L = .
( ) , .
:
, ─ ( 5.2).
() O, XOYZ ─ ).
─ − , .. ( ); r: , , .
─ − , - (), XOYZ − ( OZ); : , , ,, , .
─ − XOYZ; : , .
.5.2 -
:
= (1/3)1³ = 1/3 = 19
¾ () .
,
= + A sin k t,
=0 ; A = 36 , k= ,
= 36π sin (π/6) t. (5.1)
t=1: = 363,14 sin (π/6) 1=56,55 .
a = = 56,55 / 72 = 0,785 = 45; β = a − .
.5.2 ( , .5.1) () ¾ () , >O.
C : , ─ , s;
|
|
= (5.2)
= 6 π2 0,866 = 59,2 × 0,866 = 52,3 /; > 0, .
: , (5.3)
─ , ─ ; = ; (5.4)
= - p3 0,5= - 15,5 /2. < 0, ¯ .
= ; = 51,32/ 72 = 36,5 /2, (5.5)
ρ ─ .
, ( ).
(), () O Z.
, , , , , .
: = -1. (5.6)
= 1 -1; >0, OZ.
: = -2 . (5.7)
= 2 -2; > 0, .
:
; , (5.8)
, ; = = , , ─ , .6.9 :
; . (5.9)
= 72 0,899 50,76 0,946 =
= 64,7 48 = 16,7 ;
= 72 0,438 + 50,76 0,325 =
= 31,5 + 16,5 = 48 .
=
:
; =1 50,9 = 50,9 /, .
= + , (5.10)
,
= , ─ = ; (5.11)
= 50,9 /2.
─ Z.
,
= , ─ = ; (5.12)
= 2 50,9 = 101,8 /2.
Z , ..
, .
.5.2 ( ─ ).
(5. 13),
.
, , (. 5. 2), , ( Oz; , .. ¯ ).
. (5. 14)
= 2×1×51,3× sin 90 = 102,6 /2.
3.
, , , ─ :
, : . (5.15)
OXYZ:
, : (5.16)
.5.2 XOYZ, , :
,
= /;
/.
= /.
,
=
= /2;
=
= /2.
|
|
/2
: = 39 c/c; = 160 c/c²