8, 28, 29, 30, 129, 130
- 2008
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-2
-
, , , , ,
..
- 2008
53
-54
.., .., .., .. . 8, 28, 29, 30, 129, 130 // . ... .: , 2008. 66 .
, . , , , , .
.. ( 28), .. ( 8), .. ( 30, 130), .. ( 129). 29 .. .
(), 2008
8
: , , .
: , , .
, - , ( ) , .
. , , , , , , , .
, . - , , . , .. . .
- . .
, ( ) ( , . .).
, , m. .1. , , m. . , .
|
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, . , . . , , .. .
. , , . , , , . , . , (. . 1).
F 1, , , .
ma = mg F 1, (1)
.
. ,
J e= (F 1 F 2) r, (2)
J ; e ; r ; F 2 , .
, m 0
J = ½ m 0 r 2. (3)
, , . . x .
F = kx, (4)
k .
.. ,
F 2 F = 0. (5)
y, . , x y.
x = y + mg/k. (6)
: a = . ,
e= a/r = /r. (7)
(1), (2) (5) , (3), (4), (6) (7):
m = mg F 1,
½ m 0 = F 1 F 2, (8)
ky + mg = F 2.
F 1 F 2 ,
+ [ k /(m + ½ m 0)] y = 0. (9)
[ k /(m + ½ m0)] = w02, (9)
+ w02 y = 0. (10)
(10)
y = Asin (w0 t + a) y = Acos (w0 t + a¢), (11)
|
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; (w0 t + a) ; w0 .
, , , ( ) (11).
(. 1) (9) (11),
T 0 = 2p/w0. (12)
, , (9) (10) .
, , (10). ,
+ 2b + w02 y = 0, (13)
b - . (13)
y = A 0 e -b t sin (w0 t + a) y = A 0 e -b t cos (w0 t + a¢), (14)
A 0 ; A 0 e-b t .
. , (. 2.)
( . 2).
w w0
w = . (15)
, T = 2p/w T 0 = 2p/w0.