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WOLFRAM|DEMONSTRATIONS PROJECT

Springs in Parallel and in Series

connected in
series
parallel
number of springs
2
3
Δx
1.
k
1
2.
k
2
2.
k
3
3.5
m
3
k
E
= 7.50 N/m | F = 7.50 N | T = 3.97 s
A vibrating system with a mass
m
(orange) attached with more than one spring can be arranged either in series or in parallel. The spring constants are
k
1
,
k
2
, and
k
3
and the equivalent spring constant is
k
E
. Using Hooke's law, the period
T
of the system and the force are calculated for a displacement
Δx
.
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