1) Consider a string that is fixed at bothends, as shown in the figure. The stringis 0.04 m long and its mass is 0.01 kg. Itcan be tightened or loosened to controlthe tension.a) Find the wavelength of the string'sfundamental vibration mode.b) Find the linear mass density of thestring.c) Sketch the third harmonic on the figure.The frequency of the third harmonic is 750 Hz.d) At what speed do waves travel along the string?e) Find the tension in the string.We gradually tighten the string until it breaks. Just before it does, the fundamentalfrequency of the string happens to be equal to the original second harmonic frequencyfrom before we started tightening.f) Find the maximum tension that the string can bear.

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1) Consider a string that is fixed at both ends, as shown in the figure. The string is 0.04 m long and its mass is 0.01 kg. It can be tightened or loosened to control the tension. a) Find the wavelength of the string's fundamental vibration mode. b) Find the linear mass density of the string. c) Sketch the third harmonic on the figure.

1) Consider a string that is fixed at both ends, as shown in the figure. The string is 0.04 m long and its mass is 0.01 kg. It can be tightened or loosened to control the tension. a) Find the wavelength of the string's fundamental vibration mode. b) Find the linear mass density of the string. c) Sketch the third harmonic on the figure.

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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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

1) Consider a string that is fixed at both
ends, as shown in the figure. The string
is 0.04 m long and its mass is 0.01 kg. It
can be tightened or loosened to control
the tension.
a) Find the wavelength of the string's
fundamental vibration mode.
b) Find the linear mass density of the
string.
c) Sketch the third harmonic on the figure.
The frequency of the third harmonic is 750 Hz.
d) At what speed do waves travel along the string?
e) Find the tension in the string.
We gradually tighten the string until it breaks. Just before it does, the fundamental
frequency of the string happens to be equal to the original second harmonic frequency
from before we started tightening.
f) Find the maximum tension that the string can bear.

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