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One end of the steel wir eof area of cross section 3 mm^2 is attached to the ceiling of an elevator moving v/s with an acceleration of 2.2 m/s^2. If a load of 8 kg is attached at its free end , then the stress (in N/m2) developed in the wire will be 

A.

8000000

B.

16000000

C.

20000000

D.

32000000

Answers (1)

\begin{aligned} & \mathrm{As}, T=m\left(g+a_{0}\right)=10(10+2)=120 N\\ &\text { Stress }=\frac{T}{A}=\frac{120}{2 \times 10^{4}}=60 \times 10^{4} \mathrm{Nm}^{-2} \ \text {and } Y=\frac{\text { Stress }}{\text { Strain }}, \text { Strain }=\frac{\text { Stress }}{Y}\\ &=\frac{60 \times 10^{4}}{2 \times 10^{11}}\\ &=30 \times 10^{-7} \\ &= 3 \times 10^{-6} \end{aligned}

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