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Курс общей физики проф. Тюрин Юрий Иванович PowerPoint PPT Presentation


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Томский политехнический университет ЕНМФ. Курс общей физики проф. Тюрин Юрий Иванович. Адрес: пр. Ленина, 43 , г.Томск, Россия, 634034 [email protected] , Тел. 8-3822-563-621 Факс 8-3822-563- 403. Сегодня: среда, 15 октября 2014 г. Лекция 6. Содержание лекции:.

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Курс общей физики проф. Тюрин Юрий Иванович

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5569103

.

: . , 43, ., , 634034

[email protected],

. 8-3822-563-621

8-3822-563-403


5569103

: , 15 2014 .

6

:

6.1.

6.2.

6.3.

6.4.

6.5. .

6.6.

6.7.

:


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6.1.

, , , , . . , , , , , , . .


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6.2.

x y , x y (. 6.1).

, (x,y),

, (x,y)

:

- , . , -, movimentum , , .


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d F(Fx,Fy) , A = (F,dr) = Fxdx + Fydy = (xFyyFx)d.

d , M = xFy yFx , . M = xFy yFx.

, , :


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, , , d = dt Mk xy.

= Md . F, , d.

Ft,

rd (. 6.2)

A = rd |F| sin = Ft rd,


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Ft, rd. , Ft, r - , , .

A = rsinFd = rFd,

.. M = rF, r=rsin ,

, .

, , , , , , .


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xy z

A=Md=Mz(k,k)zdt = (Mz,z)dt.

, xz yz y x,

A=(My,y)dt, A=(Mx,x)dt.

A = ((xFy - yFx)k + (zFx xFz)j + (yFz zFy)i, ) =

= (M,)dt = (M,d).

M = (yFz zFy)i + (zFx xFz)j + (xFy - yFx)k =

=


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M , r, F, r F , , ( ).

- , , .

.


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6.3.

, , L, , . , , , . m , :


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. 6.9.

L

, Lz = xpyypx, , .

L = [r,p],

p , r -, .


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6.4.

, . (i intrinsic, M(i) , e extrinsic, M(e) ):

,

.


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, (, ), Mz (i) = 0. :


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. , . , , . .

M = i(yFz zFy) + j(zFx xFz) + k(xFy yFx) =


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L .

F = dp/dt

M = -


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, , , , :

, . .


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. . , , .


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: ( ) . 1 = 0,5 /, 2, . , 60 , , , 10 . , .


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Ld1 = R1mv1 = R1m(1R1) = m1R12,

m .

L1 = Ls1 + m1R12,

Ls1 .

Ls1 = Ld1,

Ls1 = m1R12.

, R2:

L2 = Ls2 + m2R22.

,

Ls2 + m2R22 = Ls1 + m1R12.


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,

Ls2 = .

,

+ m2R22 = Ls1 + m1R12.

Ls1 = m1R12.


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2 =

, .

, .


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6.5. .

, . . . k- mk, rk .

.

(

mk),

rk


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k-

Lk = mkvkrk.

vk =rk,

, ,

Lk = mkvkrk = Lk = mkrk2.

, :

, L = I.


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= mv . , I, . . I , , . , .


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, . , ( ), . I1, . , I2.


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, :

I11 = I22 = L = const,

,

2 = 1 > 1.

, , , . , ,


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, :

M = I, = ,

, , , . , .


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6.8.

. :

, , dmi(r),

, .


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, (. 6.17).

:

. r + a = r, :

(r)2 = r2 + a2 2(r,a),

= I0 + a2M 2(a,MR).

-

.


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O , RC = 0 :

IA = IC+a2M

C, , Ma2, M , a . () (), , . ( , , 1796 1863).


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( )

R2

-

-

R-r1

()


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6.6.

, rk, rk . mk, :

,

. L = I ,

K =


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: m I, v , P L. ,

K = = +

, , .


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v, m. .

K = + ,

.. ,

,

v. = v.

,K = + = mv2.


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, m, , , .. .

. . , , 1/3 ,

40 ( 100 ).


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6.7.

, . gyru , , skop , . , , , , . , .


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:

1. ;

2. .

, ..


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y, F, y xy (. 6.24). M, xy.

dL = Mdt M, , . dL = Ld dL = Mdt,

M = L0 = L0.


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,

M = [,L0].

, , . , .. x.

,

= ,


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F L0, I y, y, M F .

, , I, .

(M 0)


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, = 0. . , . M .


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. , . , . , , , .. . . .


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, . , . .

, , , .


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, . ,

M = Isin.

: , , .. , , , , , .


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: , 15 2014 .

.


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