_physics_bookshelf_mechanics_andreev_chernykh

", # & + ) % dr

( .4.6.).

) dm =

m

dr , "

dIc

= r 2dm =

m

r 2dr .

l

l

" (

l / 2

m

l / 2

m

r3

l / 2

ml 2

Ic = 2

∫

dI = 2

∫

r 2dr = 2

=

.

l

l

3

12

(4.15)

0

0

0

" & z ,

& % zc * % # "

( ( . 4.6) 0 %

l

2

ml 2

ml

2

ml 2

I z = Ic

+ m

=

+

=

.(4.16)

12

4

3

2

) ( % zz ( . 4.7). , * ) ),

( ). ), ( # ( &

r

.*: F , & ).

*, % &

r

) .; FR , ). & )

R , % & (

r

) .; F

, ). & %

r

)(.

F

. + *,

!. 4.6

dA = F dr = F R dφ = M z dφ,

dA = M z dφ .

(4.17)

2

A = ∫ M z dφ.

(4.18)

M z = I zε = I z

dω

, dφ = ω dt .

# (4.18) ) (3.66) )

dt

ω

ω

2

2

2

2

A = ∫ I z ω dω = I z ∫ ω dω = I z

ω2

− I z

ω1

= W 2 − W 1 ,

(4.19)

2

2

ω

ω

1

1

mυ2

I z

ω2

W =

+

.

(4.20)