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Question
Physics
The resultant spring constant of the system of springs shown below
Q. The resultant spring constant of the system of springs shown below
3064
138
KEAM
KEAM 2005
Oscillations
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A
k
1
+
k
2
+
k
3
(
k
1
+
k
2
)
26%
B
k
1
+
k
2
+
k
3
(
4
k
1
+
2
k
2
)
(
k
3
)
10%
C
2
(
k
1
+
k
2
+
k
3
)
k
1
+
k
2
20%
D
k
1
+
k
2
+
k
3
k
1
k
2
k
3
18%
E
k
1
+
k
2
+
k
3
(
k
1
+
k
2
)
(
k
3
)
18%
Solution:
The first two springs are in paralleI, so their equivalent spring constant
k
′
=
k
1
+
k
2
Now, this combination is in series with the third spring, so their equivaient spring constant
k
=
k
′
+
k
3
k
′
×
k
3
=
k
1
+
k
2
+
k
3
(
k
1
+
k
2
)
(
k
3
)