Механика УМК
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A BBYY |
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2 Àcos( t ) 2 Àsin( t ) 02 Acos( t )
f0 cos t.
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A B BYY |
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(4.81)
(4.81)
(
) .
(4.81) cos
: cos( ) sin ; -
2
« » , : cos cos( ).
(4.81) :
À 2 cos( t ) 2 À cos( t ) |
(4.82) |
2 |
02 À cos( t ) f 0 cos t.
(4.82)
. -
, , -
, ,
sin t, cos t. (4.82), -
. -
,
( . . 3.2.1.3).
X ( . 4.9) -
( t ). -
(4.82) X
À 2 .
( t ) ; 2 -
2
X. -
À 20 , X. -
, 0 . (4.82) ,
-
f0 cos t. ,
, f0 , -
X ( ( t ) t)).
231
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w. . |
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( . 4.9), - |
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f 2 |
A2 ( 2 2 )2 4 2 2 A2 |
, |
(4.83) |
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(4.84) |
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. 4.9
(4.83) :
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(4.85) |
( 2 |
2 )2 |
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4 2 2 |
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(4.85) ,
, -
) 0 , -
, .
(4.84),
.
(4.77) (4.78), (4.55), (4.79) (4.85) :
x(t) A e t cos( t ) |
|
f0 |
cos( t ), (4.86) |
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( 2 |
2 )2 4 2 2 |
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(4.58), -
(4.84). (4.86), -
,
e t . , -
-
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x(t) |
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(4.86), - |
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4.10 |
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. . |
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4.10 x(t) , |
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, |
, (4.86). |
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(4.85). - |
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4.10 |
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T 2 .
3.2.1.9
, -
, (4.85)
.
— , (4.84).
-
( (4.84) (4.85)).
= 0, . -
, (4.85) :
A f0 F0m F002 mk k
(4.76)). (4.84)
, = 0 , -
,
x(t) F0 / k const , . -
.
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w. . |
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A BBYY |
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, (4.84), ,
0. , ,
F0 /k. (4.86)
:
x(t) F0 cos t. k
x(t)
.
>> 0 , (4.84) ,
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, -
: . , -
. (4.85)
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2 2
, -
. .
, ( -
) .
, 0 , -
.
. -
-
( ), , -
,
.. -
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234
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( ), (4.85). |
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A |
. (4.85)
,
, , —
B
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.c |
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BYY |
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Ô( ) ( 2 |
2 )2 |
4 2 2 . |
(4.87) |
0 |
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,
A( .), (4.85), ( .).
(4.87) ,
:
02 2 2 2 0,
, -
:
|
ðåç |
2 |
2 2 . (4.88) |
|
0 |
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(4.87) ,
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M OZ M mg OZ mgLsin . |
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Lïð L . -
:
I IC mL2 . |
(4.105) |
(4.105) (4.104) :
Lïð L LC L .
mL
O , -
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, , -
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4 ,
4.1
1 . »
1.. -
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,
Wï (x) ).
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