n . 3 n , s = 3. h , 3 n, s = 3 n h , h .
.
s = 3 n h , h . , . .
() , ; qi (t),
i = 1,2, , s; (i = s); . , n , h , s = 3 n h , , - :
. (2.11)
h .
, q 1, q 2, , qi, , qs :
, .. ;
;
. , , .. ( ) . .
qi, , qk (t, Xj). , r = r (t), qi (i = 1,2,3) : y , q , j ( ) .
, . qi . , , . , . , .
( ), (, ) , , . , . . (2.1). , , .
|
|
2.8. . , -- , . 2.6, . (x, y, x, y) , h (h = 3):
= l 1= const, = l 2 = const, yB =0.
. 2.6
x, - j(q = j) 1 , x= l 1cosj.
.
x 2 + y 2 l 1 2 = 0 y = l 1 sin j. yB =0. (x - x) 2 + y 2 - l 2 2 = 0 x 2 = 2 l 1 x cosj + l 2 2 l 12. l 2 = l 1, x = 2 l 1 cosj.
, j, q = j.
2.9. (. 2.7) .
. xOy . -
, , x= 0; y= 0; x 2+ y 2 l 2 = 0, l = .
s = 1,
q = j, Ox. -
. x = l cosj, . - , y = l sinj,
:
1. , , , . , (x 1, y 1, z 1), (x 2, y 2, z 2),
(x 1 - x 2)2 + (y 1 - y 2 )2 + (z 1 - z 2)2 = L 2,
. , n = 2, h = 1 s = 3 n h = 3 × 2 1 = 5.
2. , ,
s = 2, , , . , , .. h = 2 s = 3 n h = 3 × 1 2 = 1.
3. , .
. .
4. , , .
|
|
5. , , .. .