First slide

Stress and strain

Question

Density of a material is $8 g m / c m^{3}$ . 1 Km long wire, made of this material is suspended from a helicopter. Then maximum stress developed in the wire is (Take $g = 10 m / s^{2}$ )

Easy

A

80 MPa
B

60 MPa
C

75 MPa
D

40 MPa

Solution

Maximum tension $T_{\max} = m g = (s l p) g$
$∴ σ_{\max} = \frac{T_{\max}}{s} = p \lg = (8 \times 10^{3}) \times 10^{3} \times 10 N / m^{2}$
$σ_{\max} = 80 M P a$

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