English: The figure depicts Hooke's law as ${\displaystyle F=k\Delta L}$ for a spring of relaxed length ${\displaystyle L_{0}}$. But this law does not hold at sufficiently high frequency. The circles are touching where the spring is in its relaxed state (zero tension.) Compression (expansion) is illustrated with circles that are overlapping (spaced-apart). At low frequency the motion is the distortions are uniform over the length of the spring, with the force ${\displaystyle {\vec {F}}}$ at the end being equal to the uniform tension in the spring. The ultimate breakdown occurs when the frequency is increased to the point where the the spring's relaxed length (${\displaystyle L_{0}}$) equals ${\displaystyle \lambda /4}$, where ${\displaystyle \lambda }$ is the wavelength of a compressional wave associated at the driving frequency. At this point the end of spring is an antinode of the motion, and consequently oscillates with a driving force equal to zero.