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a substance breaks down by a stress of 10^6 N/M^2. if the density of the material of the wire is 3*10^3 kg/m^3, the lenght of the wire of that substance which will break under its own weight , when suspended vertically
Answers (1)
Stress = F/A = {(M?g) / A} ................(1)
? density = [{mass} / {volume}]
ρ = {M / (A ? L)} i.e. M = ρAL
∴ from (1)
Stress = {(ρAL ? g) / A}
Stress = ρ ? L ? g
Given : stress = 106 N/m2
ρ = 3 × 103 kg/m3
Hence 106 = 3 × 103 × L × 10
∴ {106 / (3 × 104)} = L
∴ L = (100 / 3)
L = 33.3 m
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