A 30.0-gram, 8.20-meter line is subject to a tension force of 54.0 N, with both ends fixed. Adopt a coordinate system in which the line lies along the x-axis, with one end at x = 0 and the other at x = 8.20 m. (a) Determine the positions (x-values) of the nodes and antinodes when the line is exhibiting the third harmonic. (Enter your answers, in m, from smallest to largest.) 1st node m 1st antinode 2nd node 2nd antinode 3rd node 3rd antinode 4th node X = X = X = X = X = X = X = m m m m m m (b) At what frequency (in Hz) does this third harmonic vibrate? Hz

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter14: Superposition And Standing Waves
Section: Chapter Questions
Problem 27P
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A 30.0-gram, 8.20-meter line is subject to a tension force of 54.0 N, with both ends fixed. Adopt a coordinate system in which the line lies along the x-axis, with one end at
x = 0 and the other at x = 8.20 m.
(a) Determine the positions (x-values) of the nodes and antinodes when the line is exhibiting the third harmonic. (Enter your answers, in m, from smallest to largest.)
1st node
m
1st antinode
2nd node
2nd antinode
3rd node
3rd antinode
4th node
X =
X =
X =
X =
X =
X =
X =
m
m
m
m
m
m
(b) At what frequency (in Hz) does this third harmonic vibrate?
Hz
Transcribed Image Text:A 30.0-gram, 8.20-meter line is subject to a tension force of 54.0 N, with both ends fixed. Adopt a coordinate system in which the line lies along the x-axis, with one end at x = 0 and the other at x = 8.20 m. (a) Determine the positions (x-values) of the nodes and antinodes when the line is exhibiting the third harmonic. (Enter your answers, in m, from smallest to largest.) 1st node m 1st antinode 2nd node 2nd antinode 3rd node 3rd antinode 4th node X = X = X = X = X = X = X = m m m m m m (b) At what frequency (in Hz) does this third harmonic vibrate? Hz
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