11

11.1

m

m . m m r

r.

m m

rr

mmGr

r

mmGF

rr

32

=

= . (11.1)

. ,

(.., , , )

.

.

.

1m

2m . 1m 1rr

2m

2rr

. 1m

2m

nrr

mmGrr

rr

mmGF )(

2

21

21213

21

2121 rr

rr

rr

r

=

= , (11.2)

21 rrrr

21

21rr

rrn rr

rr

=

2m 1m .

01 =rr

( 1m ) rrrr

=2 (11.2) (11.1).

n 2m 1m .

21 rrrr

Ar

, Arrrrr

= 21 .

Arrrrr

+= 21 , 2rr

Ar

1rr

. 21 rrArrr

= 2r

r 1r

r.

2m 1m . n AArr

/ .

11.2

,

.

, .

1:

.

1: , 0 = ( ) r

, )(r = ( ),

.

: 1 ,

.

2: ,

r

,

.

: 1

2. ,

.

:

2:

.

3: :

0 = r , )(r = , r ( )

r .

11.1: .

m .

, m

.

: z .

0=t Rz =)0( , R . M ,

3/4 30

R

M

= . 3, m

z ,

z ,

3

3

3

03

4)(

R

zMzzM == .

zR

MmG

z

mzMG

32

)(= m

zR

MmG

dt

zdm

32

2

= ,

0>z 0= Lx . m Lx > .

: LM /= . x xdx + , Lx

, m

ixLxL

MGm

xx

xdiGmFdF

L

11

)(

0

2

=

==

rr.

.

=

== xLxL

MGm

xx

xdGmdFF

L11

)(0

2 .

, G 2 / 2 .

11.3: M x

0=x 0>= Lx . m 0>y y .

: LM /= . x dxx + , Lx y y .

11.3: x . x m

0>y y .

11.4: R

. m .

: R xy

. 0>y . x .

d+ . dR dRdm = . dm m

)sin(cos22

jiR

dmmGr

R

dmmGFd +==

r.

, m

jR

mGjid

R

mGFdF 2)sin(cos

0

=+==

rr.

.

11.4: R

. m .

11.5: xy

. xy m 0>z z .

: xy

r drr + . m . z .

, G , , G 2 / 2 . .

11.3

,

,

,

.

.

11.5: M x

0=x 0>= Lx . x Lx 2= Lx 3= .

: LM /= . x xdx + , Lx