Transverse standing waves produced on a string, as shown in Fig. 1, are a common demonstration of standing wave patterns that have nodes at both ends. Longitudinal standing waves can be produced on a helical spring that is mounted vertically and attached to a speaker, as shown in Fig. 2, and used to produce both node-node (NN) and node-antinode (NA) standing waves. The resonant frequencies of the two standing wave patterns are related with theory that is accessible to students in algebra-based introductory physics courses, and actual measurements show good agreement with theoretical predictions.
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