Spring Problem

  • Thread starter timtng
  • Start date
  • #1
timtng
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When the tension is 18 N, a string 2.00 m long has a fundamental frequency of 150 Hz.
a.) What is the mass of the string?
b.) With what tension must the string be stretched so that it vibrates in three segments at 150 Hz?

This is what I came up with:
a.) f=v/2L, v=2Lf=2*2*150=600 m/s
v=sqrt(T/μ), v^2=T/μ, μ=T/v^2=18/600^2=.00005 kg/m
M=2*.00005=.0001 kg

b.) L=3λ/2, 2=3λ/2, λ=4/3
v=fλ=150*4/3=200 m/s
v^2=T/μ, T=μ*v^2=.00005*200^2=2 N

Am I working both problems correctly?

Thanks
 

Answers and Replies

  • #2
Doc Al
Mentor
45,447
1,907
Your physics looks good. (I didn't check the arithmetic :wink:)
 

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