Standing-wave apparatus
OSCILLATOR OFFWhy does this happen?
Adjust generator & string
Horizontal distances follow the ruler; vertical motion is magnified. On small screens, scroll the apparatus sideways.
Measure the string
Place A and B at neighboring nodes. Their separation is half a wavelength, not a full wavelength.
v = √(T/μ) · fₙ = nv/(2L) · λₙ = 2L/n
About this model
A lightly damped, small-amplitude string with ideal fixed ends and constant tension T = mg. The small driver is approximated as a node. Near resonance (within 0.5%), an ideal single harmonic makes nodes exactly stationary. Away from resonance, a modal sum (at least 16 modes, extended to cover the driving frequency; damping ratio 0.018) models the steady forced response; transients, pulley friction and string stretch are omitted. Away from resonance, several modes contribute and interior nodes are not stationary. Node markers appear only near resonance with the oscillator on and a nonzero drive. Changing length rescales the apparatus view; use ruler values rather than screen distances. The string’s vertical displacement is magnified; horizontal distances and ruler readings use the selected vibrating length. The strobe samples one phase per driving cycle without visible flashes. Normal playback is 1/40 speed and may alias at very low screen refresh rates.