Consider a string with length L and both ends free/loose. What types of standing waves can we have in this case? Determine the fundamental frequency in terms of L, the speed of traveling waves v, and numerical factors. And then determine how all of the possible harmonics are related to the fundamental frequency. It might help to draw some pictures.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 27CQ: Many of the topics discussed in this chapter are useful beyond the topics of mechanical waves. It is...
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Consider a string with length L and both ends free/loose. What types of standing waves can we have in this case? Determine the fundamental frequency in terms of L, the speed of traveling waves v, and numerical factors. And then determine how all of the possible harmonics are related to the fundamental frequency. It might help to draw some pictures.

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