A tensioned filament acts as a linear spring obeying Hooke’s law

Evidence

The bead and filament system is thus a member of a very large and important class of vibrating objects mentioned earlier in connection with equations 3.1 and 3.3: the harmonic oscillator. The distinguishing feature of such vibrations is that the force on the object is proportional to the displacement, and in the opposite direction. A tensioned filament makes a good linear spring against displacement of the bead. — Eric J. Heller, Why You Hear What You Hear- An…, 774

Categorization

• DEFINE: Defines the harmonic oscillator through its defining property: force proportional to and opposite displacement.