Figure 2: For the fundamental frequency of a standing wave between two fixed ends, the wavelength is double the length of the string. Each successive harmonic .... When a wave reaches the end of the medium, it doesn't just vanish. ... That is, if an upward displaced pulse is incident towards a fixed end boundary, it will reflect .... As the wave pulse approaches the fixed end, the internal restoring forces which allow the wave to propagate exert an upward force on the end .... The wave equation describes a propagating wave. Let's assume the wave is traveling with one end position fixed (by your hand). where u(x,t) describes the wave amplitude as a function of position and time. ϕ(x) is then the initial position, and ψ(x) is the initial velocity.. reflects off a fixed end,; or is moving in a less dense medium and reflects off a more dense medium. For more information on physical descriptions of waves, visit ...

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