A heavy plank of mass 100 kg hangs on three vertical wires of equal length arranged
symmetrically (see figure). Find the tension in the steel wire. All the wires have the same
cross-section. Take the modulus of elasticity of steel to be double that of copper (g = 10
m 5-2).
copper
steel
copper
А
B В
C
Answers
Answer:
here your answer
Explanation:
question : A heavy plank of mass 100 kg hangs on three vertical wires of equal length arranged
symmetrically (see figure). Find the tension in the steel wire. All the wires have the same
cross-section. Take the modulus of elasticity of steel to be double that of copper (g = 10
m 5-2).
copper
steel
copper
А
B В
C
Answer:lol
Explanation:
A homogeneous block with a mass m hangs on three vertical wires of equal length arranged symmetrically. Find the tension of the wires if the middle wire is of steel and the other two are of copper.All the wires have the same cross-section. Consider the modulus of elasticity of steel to be double than that of copper.
216946
Hard
Answer
Given : ΔL
s
=ΔL
c
Y
s
=2Y
c
L
s
=L
c
Using Y=
AΔL
TL
⟹ΔL=
AY
TL
∴ ΔL
s
=
A
s
Y
s
T
s
L
s
and ΔL
c
=
A
c
Y
c
T
c
L
c
But ΔL
c
=ΔL
s
i.e
A
s
(2Y
c
)
T
s
L
s
=
A
c
Y
c
T
c
L
c
⟹ T
s
=2T
c
Also 2T
c
+T
s
=mg
OR 2T
c
+2T
c
=mg ⟹T
c
=
4
mg
⟹ T
s
=
2
mg