u5a.pdf
TRANSCRIPT
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1
. 1
. 2 . 3
. 4
. 5
. 6 . 7
.
:
k,O) r
. ( .
. ( : ) : . : :
:
GO : ruuu
.( t)
r rr ruuu+ + =kz jy ix GO
GOd: : td
= vruuu
r
.
50
narO - lavaraM ecyl keA IRUOZEUG
:
G
ar vr
)t( G
Or i
r j
r k
GOruuu
-
2
d : td= avrr
2
2d
td
= aGO rruuu
:
t (tenerF ) dtd( ) = av
2
R n = av
: : v ar r> 0 : v ar r< 0 v ar r ar=0 : v ar r= 0
( ) : :
tsC v FG txer r = =0 . :
: m
a m Ftxer r =
tn ar
ar
= vr
td vxd x=
td vyd y=
td vzd z=
ruuu = GO
x
y
z
= ar
2
2x
xax d vdtd td
= =2
2y
y
ay d vdtd td
= =2
2z
zaz d vdtd td
= =
0n
t
t vR
a aatsC v ; tsC v
====r =
: + = t0
00
B A
t
n
tv d tsC vaa
= ===
:
+ =x tv x0
) (
2
2 2
12
2
0
A B A
A B
A B
t
n
t v ta d
ta = v- v
BA a v v a aa
+ =
= ==
: 2
0 012
+ + =x t v ta x
-
3
:
B A r
A B FB / A
FA / Br
F FA / B B / Ar r =:
s ( ) - G vMr
=
. r sM : G
T ( ) - G vMr
=
. r TM : G
( :) 3
Tr 2MG
. : M =
:
.
. : ( : : )
.
: .
. 2
3k Ta
=
gro.iruozeug.www )lavaraM .xe( bibahlE deM ijdaheM ecyL
67 13 43 37 70 lT
-
4
- - 1
21 3 2t 1 3
=GO GOruuu ruuu
vrt t
ruuu ruuu ruuu = GO GO GO1 3 2
: 1t 3t vr
GO ruuu
.
: t r rrk, j , i,O) ( : t 2 + 2t = z 1 2t 2 = y 1 t 3 = x
s 2 = t 1
s 1 = t 2 :
r rr ruuu+ + + =k t t j t i t GO2 1 2 1 32 2) ( ) ( ) ( : - 1 r rr ruuu+ + =k j i GO8 7 5 s 2 = t : 2
k j i = vzd yd xd GOdtd td td td
+ + = rr rr ruuu
rr rr + + +k t j t i3 = v2 2 4) ( = + + = + + =s / m , v v v vz y x4 6 61 61 9 2 2 2 rr rr + +k j i3 = v4 4 s 1 = t
: - 2 .
.r v : 2t
1 3 1 3
av v vt t t
= =rr r r
. 1t 3t
a 1t 3t r
)1t( G )2t( G
)3t( G
x
y
z
o
GO1vuuu
3
ruuuu GO
rt v2 2) (
)0t( G
GOruuu
GOd
td= v
ruuur
rt v 3) (
rt v- 1) (
r t v 2) ( )3t( G
)1t( G
)0t( G
rt v 1) ( )2t( G
rt v 3) (
rt a 2) ( r t v 2) (
avdtd
=rr
y
2G
O
x
z
i r
j r
kr
-
5
() - 3 r rn,u,G) ( G
( .O)
:
: r r=u v v v uud vd vdtd td td
+ = ( ru ) rr r
: ra
t: u avdtd
=td avd t r r=
n( ) v audtd
= rr
2
navR
.= . R
] [: ] [] [] [
] [] [] [ ] [
22
DT D aTD
T T = = =
s m.2
. zO yO xO
. ! = an0 - 1
: + =x tv x0: ( . ) 0 = t : x0
. x : t
.=tv d t d =s t2 1 =m x3 1 :
.=s t3 2 =m x5 2 .x0 v . + =x tv x0 :
ru
G
O
rv rn
raatr
anr
-
6
m s5 ; 3) ( m s3 ; 2) ( 0
0
2 33 5
x vx v
+ = + = + =t x91 8 =m x91 0 =s m v/ 8
=s m v/ 8 =s m v/ 8 : .
- 2
0 0 2 12
( ) 0 = t v0 (1 ) + + =x t v ta x
0 v ta vxdtd
( 2 )+ = =
= x x a v v20 02 2) ( ( 1) ( 2) . v v0 d x x0
: d vB B vA A
.=BA d = BA a v v A B2 2 2) (0 2
12
.B A t + =t v ta d
tv vA B B A a =
( ) :
. - : . . -
.
2
navR
.= BA B A
. t )= =tv BA S t v S R
R R =
S R
v R
v R
=
.s dr.1 /
A
B
R
O
-
7
2 T : T =
.
.= t t
-
- 1 .
: ( V: )
Fr
Fv / r r
Tv / c r
rP f
r
.
: ( C: + )
Fr
Fv / r r
Fc / r r
r f
rP ' f
r' P
ruuTv / c:
rTc / v
r
2 1
. N 1,0 = f ( L )
A g 001 = m S
. BA . 03 = . S
.B A 1
. S 2
. B A S 3
. ( L )CB 4
.C B S (
. mc 07 = BA C S (
. =N , ' f51 0 CB 5 .C CB A S
I.S 01 = g
A
C B
L S
Fr
Pr
' Pruu
Tc / vr
Tv / c r
Fv / rr
Fc / r r
C V
r f
r ' f
-
8
:
P : B A S 1r
f r
L
RS / L S r
.
:( ) 2
.
r r =a m Ftxe= + +a m f R PS / L
(1 ) r r rr
. S
. xO . ( yO , xO) : ( 1)
( . )=nis P Px xO RS / L
r . xO
f r
. xO
. : a
= a m f nis P:
af nis P: m m f P: . =
. S
4 1 0 03 01 1 02 1 0
s.m a, nis ,,
= =
: 3
)x = xO S t ( .S
.v t ( : )
= = + F W E E Etni txe c C C1 2) ( .
2 21
1 12 2
= xf hgm vm vm : =nis x h 0 = 1v
A
C B
S
RS / Lr
fr
Pr
L
O
y
x
Pxr
Pyr
Pr
x
y
h x
1
2
-
9
122
(2 ) =xf nis x gm vmRS / L
r .
f r
.( )
af nis gm: =vf nis v gm avm : ( 2) m =
- 4
(
. (
:
= +am R PS /'Lr r r
:xO
= a0 = +am 0 0 .
.B C B
: B
= =v s / m , vC B63 2 = = , , vB6 5 07 0 4 2 2: 0 = Av = BA a v vA B2 2 2) ( S - 5
= + +'a m ' f R PS /'L xO r r rr
'a' f = 'a m ' fm
= .
> a .vt0 r r> a .v0 : < a .vt0 r r< a .v0
) S
. m f ( . < a .vt0 (3 ) = CB 'a v vB C2 2 2) ( CB
( ) 0 = Cv s/m 63,2 = Bv
5 1 51 021 0
s.m , 'a, ' f, m
( : 3) = = =68 1 6 5 2
5 1 2 2m , CB, vB
, 'a = = =
RS /'Lr
Pr
x O
RS /'Lr
Pr
' fr
x
-
01
2
1S . 2S 1S
.03 =
( . )
.g 002 = 2M : 2S g 003 = 1M : 1S
. i. u 01 = g
. 1
.2S 1S 2
:
nis g1M = nis 1P g 2M = 2P 1 .N 5,1 = 5,0 01 3,0 = nis 1P N 2 = 01 2,0 = 2P
. 2S nis 1P > 2P . 2S 1S - 2
.
:
:1S
= + +a M R P T1 1 1 1r r r r
:
(1 )= a M nis P T1 1 1 1 : 2S
= +a M P T2 2 2 2r r r
:
(2 )= a M T P2 2 2 2 a = 2a = 1a ( 2) ( 1) 2T = 1T
1 22 : 2S 1S 2 1
1 5 1 25 0
s.m a, nis P P, M M
+= = =
T T2 1 : r r
2a = 1a 2T = 1T r ra a2 1
1S
2S
P2r
P1 r
T1r
T2r
Rr
-
11
( ) -
.
: 1
/ /1 2 2 122 1 d 2M 1M M M
G F Fd
= = 2gk . 2m . N 1101 76,6 = G G
2
.
( )
.
)
.(
.
( )
- 3
) ( =am Fn 2
2m Gv MmT
h Rh R (1 )++ =
. : h : R : TM : m
( 1)
. : - 4
v v Th R 2 2 2) ( : h R
= = =++
:
F/2 1r
F/1 2r
2 1
d
G vMTh R
+ =
23) (T
Th RMG
=+
h + RPr
-
21
- 5
. .
. :
gk 4201 6 = TM .mk 0046 = R
) ( : 3
2T
Th RMG
. s 00468 = 0063 42 = h 42 = T =+
: 42 23) (
T
Th RMG
) ( =+ 2
342
+= h RMG TT
3 35 42 11 2 2) (
200063 01 46 0046801 6 01 76 6
404mk R h, MG TT
= =
- 6 a 2 = FM + FM M : - 1
: b a F F
- 2
.
. :
( ) - 3
.
.
F F
A
B
C
D
P A
F F
M
F F
a
b
a2
-
31
.D C B A DCF BAF
A ( ) P
( . )
- 4
: 2T 1T
.
a 2
( )=+ ar rA P
) ( : 2
3k T
h R +=
. R h
2 22 13 3
2 1
T Tk
a a = =
F F
P A
rA rP