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Two vertically suspended springs
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For two masses hung in series from springs of natural length
ℓ
, the lower equilibrium spring tension is
m
2
g
and the upper tension is
(
m
1
+
m
2
)
g
. Hence their equilibrium lengths are
L
2
=
ℓ
+
k
2
m
2
g
,
L
1
=
ℓ
+
k
1
(
m
1
+
m
2
)
g
.
(43)
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78
1
Vertical normal modes of two equal suspended masses
Two vertically suspended springs
43
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Small oscillation
Lagrangian mechanics
Classical mechanics
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