( ) , . . . , . .
. , ( ) . , , x = f (t). .
(. 2.1.1).
2.1.1. . |
, , . , , . . , , .
,
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x , x m , . . , ω , t . , φ = ω t + φ0 . t = 0 φ = φ0, φ0 . , , T. , , :
f , 1 . (). f ω T :
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. 2.1.2 . ( ). .
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2.1.2. . φ0 = 0. τ = T / 12. |
. 2.1.3 , , x m, T ( f), φ0.
2.1.3. φ0 = 0: (x' m > x m); b (T' = T / 2); ( ). |
( OX) . υ = υx
Δ t → 0 x (t) t x' (t) , , . x = x m cos (ω t + φ0). :
+ π / 2 . υ = ω x m , (x = 0). a = a x :
, a υ(t) t, x (t). :
, a (t) , x (t), , , , , (x = 0).
. 2.1.4 , , .
2.1.4. x (t), υ(t) a (t) , . |
.
, .
, , , , , , (. 2.1):
F (t) = ma (t) = m ω2 x (t). |
ω . (. 1.12):
F = kx. |
, , .
, m, k, (. 2.2.1), , . .
|
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2.2.1. . . |
ω0 :
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ω0 .
T
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, , . , . x 0,
. ω0 T .
, a x: x t:
| (*) |
( ), (*), ,
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(*) . , ω0 T. , x m φ0, , .
, , Δ l t = 0 , x m = Δ l, φ0 = 0.
, , υ0, ,
, x m φ0 .
, . . 2.2.2 . , . θ M :
M = χθ. |
. χ k. (. 1.23)
I = I C , , ε .
:
. . .
2.2.2. . |