4 Generating a Travelling Wave µ A very long string with μ = 2.0 g/m is stretched along the x-axis with a tension of 5.0 N. At x = 0 it is tied to a 100 Hz simple harmonic oscillator that vibrates perpendicular to the string with an amplitude of 2.0 mm. The oscillator is at its maximum positive displacement at t=0 seconds. Problem 4.1. What is the wave speed of the oscillation travelling through the string? Problem 4.2. The general equation for the displacement is: s(x,t) = Smsin(kxwt + 0) Write the displacement equation for the travelling wave on the string described in the ques- tion. You will need the amplitude ym, the phase constant o, the angular frequency omega and the wavenumber k. Problem 4.3. At t = 5.0 ms, what is the string's displacement at a point 2.7 meters from the oscillator? (make sure your calculator is set to radians)
4 Generating a Travelling Wave µ A very long string with μ = 2.0 g/m is stretched along the x-axis with a tension of 5.0 N. At x = 0 it is tied to a 100 Hz simple harmonic oscillator that vibrates perpendicular to the string with an amplitude of 2.0 mm. The oscillator is at its maximum positive displacement at t=0 seconds. Problem 4.1. What is the wave speed of the oscillation travelling through the string? Problem 4.2. The general equation for the displacement is: s(x,t) = Smsin(kxwt + 0) Write the displacement equation for the travelling wave on the string described in the ques- tion. You will need the amplitude ym, the phase constant o, the angular frequency omega and the wavenumber k. Problem 4.3. At t = 5.0 ms, what is the string's displacement at a point 2.7 meters from the oscillator? (make sure your calculator is set to radians)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 18.4OQ
Related questions
Question
![4 Generating a Travelling Wave
µ
A very long string with μ = 2.0 g/m is stretched along the x-axis with a tension of 5.0 N.
At x = 0 it is tied to a 100 Hz simple harmonic oscillator that vibrates perpendicular to the
string with an amplitude of 2.0 mm. The oscillator is at its maximum positive displacement
at t=0 seconds.
Problem 4.1. What is the wave speed of the oscillation travelling through the string?
Problem 4.2. The general equation for the displacement is:
s(x,t)
=
Smsin(kxwt + 0)
Write the displacement equation for the travelling wave on the string described in the ques-
tion. You will need the amplitude ym, the phase constant o, the angular frequency omega
and the wavenumber k.
Problem 4.3. At t = 5.0 ms, what is the string's displacement at a point 2.7 meters from
the oscillator? (make sure your calculator is set to radians)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe117ef67-ae96-4fd1-941b-03e981152079%2Fc8c04b7b-94e8-419b-811e-8de0ee1ce945%2F35yv5vq_processed.png&w=3840&q=75)
Transcribed Image Text:4 Generating a Travelling Wave
µ
A very long string with μ = 2.0 g/m is stretched along the x-axis with a tension of 5.0 N.
At x = 0 it is tied to a 100 Hz simple harmonic oscillator that vibrates perpendicular to the
string with an amplitude of 2.0 mm. The oscillator is at its maximum positive displacement
at t=0 seconds.
Problem 4.1. What is the wave speed of the oscillation travelling through the string?
Problem 4.2. The general equation for the displacement is:
s(x,t)
=
Smsin(kxwt + 0)
Write the displacement equation for the travelling wave on the string described in the ques-
tion. You will need the amplitude ym, the phase constant o, the angular frequency omega
and the wavenumber k.
Problem 4.3. At t = 5.0 ms, what is the string's displacement at a point 2.7 meters from
the oscillator? (make sure your calculator is set to radians)
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