Solution

A steel wire hangs vertically from a fixed point, supporting a weight of $80\,\mathrm{N}$ at its lower end. The diameter of the wire is $0.50\,\mathrm{mm}$ and its length from the fixed point to the weight is $1.5\,\mathrm{m}$. Calculate the fundamental frequency emitted by the wire when it is plucked. Density of steel wire is $7.8 \times 10^{3}\,\mathrm{kg\,m^{-3}}$.