All Problems

Elastic deformations

Problem 1.294

A steel wire of diameter \(d=1.0 \mathrm{~mm}\) is stretched horizontally between two clamps located at the distance \(l=2.0 \mathrm{~m}\) from each other. A weight of mass \(m=0.25 \mathrm{~kg}\) is suspended from the midpoint \(O\) of the wire. What will the resulting descent of the point \(O\) be in centimetres?

Reveal Answer
xlmg/2πd2E3=2.5 cmx \approx l \sqrt[3]{m g / 2 \pi d^{2} E}=2.5 \mathrm{~cm}