$A$ steel wire having a radius of $2.0 \, mm$, carrying a load of $4 \, kg$, is hanging from a ceiling. Given that $g = 3.1\pi \, m/s^2$, what will be the tensile stress that would be developed in the wire?

The length of a metallic wire is $\ell_{1}$ when the tension in it is $T_{1}$. It is $\ell_{2}$ when the tension is $T_{2}$. The original length of the wire will be ...... .

What is the tensile stress on the cross-section $PQRS$?

Explain the spring-ball model of the elastic behavior of solids.

Which of the following is an amorphous solid?

Wires $W_{1}$ and $W_{2}$ are made of the same material having a breaking stress of $1.25 \times 10^{9} \, N/m^{2}$. $W_{1}$ and $W_{2}$ have cross-sectional areas of $8 \times 10^{-7} \, m^{2}$ and $4 \times 10^{-7} \, m^{2}$,respectively. Masses of $20 \, kg$ and $10 \, kg$ hang from them as shown in the figure. The maximum mass $m$ that can be placed in the pan without breaking the wires is $..... \, kg$. (Use $g = 10 \, m/s^{2}$)