- . , , , - : , , . , , ( ).
, . , . , , , .
, , l, , . 7.17.
θ0 , .
.7.17.
l, θ.
(7.27)
: . , : F = mg sin θ, θ. .
(7.28)
. | θ |<< 1, (7.28) ( sin θ ≈ θ; )
:
- , - . . t = 0
, ,
φ - , ; - ; φ θ0 v0.
, (7.29), . ( ); , A sin (ωt + φ), (7.29) ( π/ 2).
|
|
(7.28), . , . τ = t/T,
(7.30)
! , . .
(7.30) :
(7.31)
, , ( , ):
(7.32)
x θ
(7.33)
, ε - , .. . 7.18 θ(τ) θ0 = π /2 v0 = 0 ( ). , (7.29), , -, ( ), , -, , . π/ 2, ( ).
. 7.18. θ(τ) θ0 = π /2 v0 = 0 ( ) π /2 ( )
, , , , , . - .
, . 1,18 ( ). A
( A = π /2, T ≈ 1,18, φ = 0). . 7.5 (7.31) ( ) A = π /2, T ≈ 1,18, φ = 0 ( ) , . , , .
7.5