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?

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 67P: Two strings are attached to poles, however the first string is twice the linear mass density mu of...

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