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Two vertically suspended springs
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Past exam of the mathematics course of the University of Cambridge
/
2024
/
ii
/
Paper 2
/
14E
/
b
/
Solution
Created
2026-09-24
Updated
2026-09-25
View more
At the downward vertical equilibrium, the lower
spring
supports
m
2
g
and the upper
spring
supports
(
m
1
+
m
2
)
g
. Thus the
two vertically suspended springs
have
lengths
L
2
=
ℓ
+
k
2
m
2
g
,
L
1
=
ℓ
+
k
1
(
m
1
+
m
2
)
g
,
(1)
and
positions
(
x
1
,
y
1
)
=
(
0
,
−
L
1
)
,
(
x
2
,
y
2
)
=
(
0
,
−
L
1
−
L
2
)
.
(2)
Total
articles
:
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