Resonance and Standing Waves on Stretched Strings (Leaving Cert Physics): Flashcards

Frequency at which object naturally vibrates when disturbed

When driving force matches natural frequency, causing large amplitude vibrations

Wave patterns that appear stationary, not travelling

Points that remain completely stationary (zero displacement)

Points where string vibrates with maximum amplitude

Half wavelength ($\frac{\lambda}{2}$)

Lowest frequency at which string can vibrate

$2f$ (twice the fundamental)

2 nodes, 1 antinode

$f \propto \frac{1}{l}$ (inversely proportional)

$f \propto \sqrt{T}$ (prop. to square root)

$f \propto \frac{1}{\sqrt{\mu}}$

$f = \frac{1}{2l}\sqrt{\frac{T}{\mu}}$

Instrument to study vibrations of stretched strings

Paper rider on wire is thrown off