Two strings on a musical instrument are tuned to play at 392 Hz (G) and 494 Hz (B). (a) What are the frequencies of the first two overtones for each string? (b) If the two strings have the same length and are under the same tension, what must be the ratio of their masses (mg/mB)? (c) If the strings, instead, have the same mass per unit length and are under the same tension, what is the ratio of their lengths (lG/lB)? (d) If their masses and lengths are the same, what must be the ratio of the tensions in the two strings?

Two strings on a musical instrument are tuned to play at 392 Hz (G) and 494 Hz (B). (a) What are the frequencies of the first two overtones for each string? (b) If the two strings have the same length and are under the same tension, what must be the ratio of their masses (mg/mB)? (c) If the strings, instead, have the same mass per unit length and are under the same tension, what is the ratio of their lengths (lG/lB)? (d) If their masses and lengths are the same, what must be the ratio of the tensions in the two strings?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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