D2_metodichka_obschie_teoremi_dinamiki

$

P , P , P , P ,

-

1

2

3

4

N1 , 1 & -

F ,

X O , YO

– & O , S3 – -

.

. $ :

Ae = A(P ) + A(P ) + A(P ) + A(P ) + A(F ) +

∑ k

1

2

r

3

4

(3.14)

r

r

+ A( X O ) + A(YO ) + A(S3 ).

($ P2 ,

X O , YO

",

($ P1 , P3

P4 , -

(3.10):

A(P ) = m gh , h = S sin α,

. .

A(P ) =12m gS sin α .

1

1

1

1

1

1

4

1

A(P3 ) = −m3 gSC .

SC

– 3 . /

SC

&

V1

=

S1

;

SC =

S1

;

VC

SC

6

r

1

1

m gS .

A(P ) = −

m gS =−

3

6

3

1

2

4

1

r

r

1

m gS .

A(P ) = −m gS

; S

= S

; A(P ) = −

4

4

C

4

4

4

6

4

1

∑ Ake = m4 g(12sin α −

1

−

1

−12 f cos α)S1 = 894,3S1 '.

2

6

! (3.13) (3.14), (3.8) -

63,47V 2 = 894,3S ,

1

1

894,3

V =

S =3,75

S .

63,47

1

1

1

! S1=1

V1 = 3,75 / .

3.3.2. 3 ( )

':

m1 = m3 = m4 = m =1 , m2 = 2m,

OA = AB = CA = l =1 ,

M =100 / , ϕ = 30°,

m1 –

& 1,

m2 –

& 2, m3 m4 –

.

,

(3.2),

T = T1 + T2

+ T3 + T4 .

(3.15)

" & 1 -

(3.4)

T =

1

J

ω2

=

1

ml

2 ω2

,

0

1

2

1

6

1

V4

4

r

C

N 4

P

r

P4

r

VA

1

A

2

r

ω1

P2

N 3

YO

r

3

P

O

φ

1

B

X O

V3

!3

(. 6

J

0

=

1 m l 2

= 1 ml 2

–

& -

3

1

3

O .

& 2, & "

, $ ,

(3.5):

T = 1 m V

2

+ 1 J

A

ω2

,

2

2

2

A

2

2

V

A

–

&,

J

A

=

1 m 4l 2

= 2 ml 2

–

12

2

3

,

.

T =

1

m V 2

T =

1

m V

2 .

3

2

3 B

4

2

4

C

+ VB VC ω1 ϕ

&

VB = ω2 BP = ω1 2l sin ϕ,

VC = ω2 CP = ω1 2l cos ϕ.

, , :

T = 2ml 2ω2 sin2

ϕ,

3

1

T = 2ml 2ω2 cos2

ϕ.

4

1

*

T =

21

ml 2 ω2

,

T =

21

ω2 .

(3.16)

6

1

6

1

'

ω1 &

ϕ = 30° (3.8):

T = ∑ Ake .

( & , " :

r

r r r

P1 , P2 , P3 , P4 –

;

r

r

r

r

r

r

r

) +

∑

Ae = A(P ) + A(P ) + A(P ) + A(P ) + A(M ) + A( X

(3.17)

kr

1

r

2

r

3

4

O

r

A(P ) = − l mg sin ϕ ,

1

2

r

ω =

6

(100ϕ − 44,1sin ϕ)

( -1).

1

21

! ϕ = 30

0 ω = 2,95

-1.

1