Stereothe

Page 1

.4

.

x dx u dt du acm dt F m F

F

I I

m

P ewton

d dt d dt

m u

F

dP dt

0,

P

L I

.

.

W

=f(t) =f(t) =f(t)

.

1 2

K

1

1

m u2 2 2

.

W=

m u2

1

L=

0,

W=F x K

ewton

dL dt

m u2 1 2

W

2

1 2 I

I

2

2 2

1

x=ut t 1 2 x=x0+u0t ± t 2 t =u0 CM S =uo2/2

2

I

2 1

=f(t)

t

u=u0

0t

0

t

=f(t)

·t

0

±

.

1 2

t2

=f(t)

0/ 2 o /2

1


.4

,

,

,

.

.

ui

路Ri,

Ri

Ri.

:

u

)

B

u

R 45

B

u

:

u

)

u

2R

R 2

B

u

,

u 2

B

2u .

u 0

i.

.

u :

u

u=u

u= 路R

.

ii.

iii.

u<u

: u=u0

cmt

,

.

u< 路R,

u <0 :

u >u u> 路R, u=u0 - cmt

0

uA>0

-

t.

0+

:

t.

. u u cm

,

,

ucm

:

.

2

R


.4

,

.

cm , (

)

. cm=a

.

.

cm

, .

u :

a

a

cm

a =acm+a

a =2acm

a =acm+a

a =0

:

a

A

acm

a

acm

:

cm

路R

,

.

,

t

(

2

t

rad)

N

,

s=

t .

t

s

2

: s

R,

N=s/2 R

, .

2 R, ,

.

. .

, .

.

. 3


.4 .

.

=

: .

(

,

)

Steiner. ). (

(

t

0

(1). (1) ).

2

0t

t /2 :

(

)

,

, .

. . .

Newton

,

F

m

Fx Fy

cm

m m

),

: xOy.

.

x’x

,

.

cm cm ,

(1)

(

.

. .

R.

CM

.

(2) : ,

.

,

.

cm=

=

R

,

cm

(2).

.

-

.

. .

. , . max

.

, 4


.4

,

. :

,

.

max

L 1.

L,

u,

L

m

m u r

,

r

:

u

.

,

. .

,

2.

L

: ,

(

.

I

Steiner).

3. .

L=L1+L2+L3+

1.

dL dt

, . . ,

dL dt

.

dL dt

L=f(t),

,

L=L0 .

t 5


.4 dL : dt

.

d(L 0 dt

dL dt

t)

2.

,

. :

dL dL dL

L

L L

x

L

,x

dL

,x

L

y

,

90째, :

L2 2

dL

L2 1

,

2

)2

1

,

=L

,

i.

L

,

)2

.

,

.

.

:

=L

i.

1.

2

.

,

L

,

dL=

'

L

,y

.

: dL=L2 -(- L1)

dL

L

,y

m u r+I

1=(

+mr2

2.

:

=L .

mur - I

1=(

+mr2

3.

6


.4

, :

.

K=K

ucm

1 I 2

K

,

.

K

1 I u2 cm 2

2

,

:

1 I 2

2

.

-

. .

:

( .E.E.)

W

.

:

.

.

.

.

,

W

. .

.

.

,

. ,

.

.

. .

. .

, 7


.4

.

:

=U

+U

U

=mgh, h

1 kx 2 , x 2

U

.

1.

.

. ,

.

,

,

,

:

mu 2 . R

F R

: :

mu 2 R

F R

N

>0

.

mg

mu 2 R

mu 2 R

mg

N

mu 2 R

N

mg

:

:

umin

u

0

gR .

u

R

(

N

,

)

gR

min

.

, .

w

2. ,

.

:

mu 2 . L

F R

u

:

mu 2 F R

L .

0

:

T

.

T mg K

mu 2 T

mg

L

u

8


.4 mu 2 T

mg

L

:

mu 2 mg

L

gL .

u

0

umin

,

,

:

L

.

(

)

,

T,

.

u

gL

, min

u

w K

3.

m.

(

.

)

.

:

,

u

, min

u

0

9


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