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Physics

Waves on a string

Travelling and standing waves, reflections, harmonics.

Waves on a string — Actual application image
Actual application image

What happens

A string you can pluck like an instrument: pulses run to the fixed ends, flip on reflection and cross each other unharmed. Drive it near a natural frequency and a standing wave swells up, its harmonics selected by the mode buttons. The probe chart records what a pickup at one point would hear.

Equations used in the module
Equations
y_tt = (T/μ)y_xx; v = √(T/μ)
y(0)=y(L)=0: f_n = nv/(2L)
y(0)=0, y_x(L)=0: f_n = (n−½)v/(2L)
n = 1,2,3,...

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Kundt's tube — Actual application image

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