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N, with botrh ends fixed. Adopt a coordinate system antinodes when the string is exhibiting the third harmonic. (E

N, with botrh ends fixed. Adopt a coordinate system antinodes when the string is exhibiting the third harmonic. (E

College Physics
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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**Problem Statement:** A 49.0-gram, 7.00-meter string is subject to a tension force of 40.0 N, with both ends fixed. Adopt a coordinate system in which the string lies along the x-axis, with one end at \( x = 0 \) and the other at \( x = 7.00 \, \text{m} \). **(a)** Determine the positions (x-values) of the nodes and antinodes when the string is exhibiting the third harmonic. (Enter your answers, in m, from smallest to largest.) - 1st node: \( x = \) _____ m - 1st antinode: \( x = \) _____ m - 2nd node: \( x = \) _____ m - 2nd antinode: \( x = \) _____ m - 3rd node: \( x = \) _____ m - 3rd antinode: \( x = \) _____ m - 4th node: \( x = \) _____ m **(b)** At what frequency (in Hz) does this third harmonic vibrate? - Frequency: _____ Hz
Transcribed Image Text:**Problem Statement:** A 49.0-gram, 7.00-meter string is subject to a tension force of 40.0 N, with both ends fixed. Adopt a coordinate system in which the string lies along the x-axis, with one end at \( x = 0 \) and the other at \( x = 7.00 \, \text{m} \). **(a)** Determine the positions (x-values) of the nodes and antinodes when the string is exhibiting the third harmonic. (Enter your answers, in m, from smallest to largest.) - 1st node: \( x = \) _____ m - 1st antinode: \( x = \) _____ m - 2nd node: \( x = \) _____ m - 2nd antinode: \( x = \) _____ m - 3rd node: \( x = \) _____ m - 3rd antinode: \( x = \) _____ m - 4th node: \( x = \) _____ m **(b)** At what frequency (in Hz) does this third harmonic vibrate? - Frequency: _____ Hz
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