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.
In section 4.1 we derive the wave equation for transverse waves on a string. This equation will take exactly the same form as the wave equation we derived for the spring/mass system in Section 2.4, with the only difierence being the change of a few letters. In Section 4.2 we discuss the re°ection and transmission of a wave from a boundary.
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