take two springs with different spring constants k1 and k2 and join them in series/parallel determine the time period of oscillation of combined spring and cheek the relation between individual spring constant and combined system
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Answer:
Explanation:
Two springs of spring constant k
1
and k
2
are joined in series.
The effective spring constant of the combination is -
We know using hooke's law
k
1
f
1
=x
1
k
2
f
2
=x
2
X=
k
1
f
1
+
k
2
f
2
X=
k
1
F
+
k
2
F
X=F(
k
1
1
+
k
2
1
)
X=F[
k
1
k
2
(k
1
+k
2
)
]
F=
(k
1
+k
2
)
k
1
k
2
X
Therefore,k=
(k
1
+k
2
)
k
1
k
2
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