Question on a waves/sound problem

  • Thread starter Kalix
  • Start date
  • #1
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Homework Statement


Question: Two strings at different lengths and linear densities are joined together. They are stretched so that the tension in each string is 190.0 N. The free ends are fixed in place. Find the lowest frequency that permits standing waves in both strings with a node at the junction. The standing wave pattern in each string may have a different number of loops.

Homework Equations



3.75 m 1.25m
_________________=====================

6*10^-2 kg/m 1.5*10^-2 kg/m

(this is kinda what the picture looks like if it helps but it seems really confusing on the computer)

Equations I should use (there may be others):
f=nv/2L
(n1v1)/2L1=(n2v2)/2L2

Other information I am given:
L1=3.75
L2=1.25
n1=?
n2=?
v1=?
v2=?
(m/L)=6.00x10^-2 kg/m
(m/L)2=1.50x10^-2 kg/m

I need to create a ratio between n1 and n2.

I don’t understand how I get v and then how to find a ratio between n1 and n2.


The Attempt at a Solution


Well above I listed all the variables I knew and the ones I didn't know. from that I plugged what I had into the second equation and got (n1v1)/2(3.75)=(n2v2)/2(1.25). That is about how far I got. I don’t understand how I get v and then how to find a ratio between n1 and n2.
 

Answers and Replies

  • #2
26
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Sorry the picture got a little messed up on the computer. Hopefully it will be easy to tell where things go based on the other information.
 

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