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H
R̄1 =
∆R1 =
R̄2 =
∆R2 =
T̄1 =
∆T1 =
L̄ =
T̄2 =
∆T2 =
∆L =
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$=$ V0 =
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m
l
m
l
J4=$;$61 M @ m@ α@ l + T9.2 ./?,=4 67E.A:9%: $5 $5?4/46$2@
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α−β
α+β
cos
,
cos α + cos β = 2 cos
2
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α+β
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2
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+
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(ω + ω − )t
cos
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+
+
(ω − ω −)t
(ω + ω − )t
sin
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α2 = −α10 sin
2
2
#!$%! &
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2
2
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$*77- 2=*F $74@4,#; E*246 #746I 9-=#$#75$6I 56 =)474,# =#2-V
α1 + α2 = (α10 + α20 ) cos(ω +t).
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)-=,- A-$6564 52#,5A,5B5 5$H#33.65)-% W-0/4)474,,-. .=3.46$. $*775; $74@4,#; 7-.6,#15= 1 # 28 /5K657* -7/3#G
6*2- #974,4,#. K65; /4)474,,5; /5$65.,,-% 404,#4 *)-=,4,#. MCR% QP
75+,5 9-/#$-6I = $342*?@47 =#24V
α1 + α2 = (α10 + α20 ) cos(ω −t).
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k 1/2
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B24 A-$656- ω − = gl + 2ε2 m
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3*A#7V
1
1
α1 = (α10 + α20) cos(ω +t) + (α10 − α20) cos(ω −t).
MCR% SP
2
2
Y$3# =:A647 #9 )-=4,$6=- MCR% 'P )-=4,$6=5 MCR% DP8 /53*A#7V
1
1
α2 = (α10 + α20) cos(ω +t) − (α10 − α20) cos(ω −t).
MCR% &P
2
2
Z-746#78 A65 4$3# 5E- 7-.6,#1- #74?6 =,-A-34 )-=,:4 $74@4,#.
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r
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+
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ω =
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d2α1
= −mgl sin α1 + kε2l2(sin α2 − sin α1 );
dt2
d2α2
= −mgl sin α2 − kε2l2(sin α2 − sin α1 ).
dt2
L%H$ α1 $ α2 +*H50 -1
ml2
ml2
d2 α1
= −mglα1 + kε2l2(α2 − α1 );
dt2
@!'&JB
@!'&KB
@!'& 'B
d2 α2
= −mglα2 − kε2l2(α2 − α1 ).
@!'& B
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d2(α1 + α2 )
= −mg(α1 + α2 ),
dt2
@!'& !B
d2(α1 − α2 )
= (−mg − 2kε2l)(α1 − α2 ).
dt2
@!'& RB
ml
* )5?-,0 Q
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Q G:<R
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