Transcription of Transverse waves on a string - Harvard University
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Transverse waves on a string - Harvard University
Chapter 4 Transverse waves on a stringDavid Morin, the previous three chapters, we built up the foundation for our study of waves . In theremainder of this book, we ll investigate various types of waves , such as waves on a string ,sound waves , electromagnetic waves , water waves , quantum mechanical waves , and so Chapters 4 through 6, we ll discuss the properties of the two basic categories of waves ,namelydispersivewaves, andnon-dispersivewaves. The rest of the book is then largely aseries of applications of these results. Chapters 4 through 6 therefore form the heart of non-dispersive system has the property that all waves travel with the same speed,independent of the wavelength and frequency.
precisely if the slope dˆ=dx is small; see below), then we can make the approximation that all points in the string move only in the transverse direction. That is, there is no longitudinal motion. This is true because in Fig.1 the length of the hypotenuse equals dx dx dy 2 +d y 2 Figure 1 p dx2 +dˆ2 = dx r 1+ ‡dˆ dx ·2 … dx µ 1+ 1 2 ...
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