All Problems

Elastic deformations

Problem 1.294

A steel wire of diameter d=1.0 mmd=1.0 \mathrm{~mm} is stretched horizontally between two clamps located at the distance l=2.0 ml=2.0 \mathrm{~m} from each other. A weight of mass m=0.25 kgm=0.25 \mathrm{~kg} is suspended from the midpoint OO of the wire. What will the resulting descent of the point OO 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}