2 exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is 1 cm, find how much each wire is elongated. Given Young's modulus for steel = 20 ×10^10 N/m^2 and Young's modulus for copper = 12 × 10^10 N/m^2.
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Answer:
Equal force is applied,
k
eq
1
=
k
1
1
+
k
2
1
k
eq
=
k
1
+k
2
k
1
k
2
F=k
eq
.2
F=
k
1
+k
2
2k
1
k
2
k=
l
YA
kαY
k
2
k
1
=
12×10
11
20×10
11
=
3
5
F=k
1
x
steel
x
steel
=
k
1
F
=
k
1
+k
2
2k
2
x
copper
=
k
2
F
=
k
1
+k
2
2k
1
x
copper
x
steel
=
k
2
k
1
=
5
3
x
s
+x
c
=2
5
3
x
c
+x
c
=2
x
c
=
8
10
=
4
5
=1.25cm
x
s
=0.75cm
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