2 vibrating strings and harmonics questions

AI Thread Summary
Two ukulele strings of equal length and mass are tuned such that the first string vibrates at twice its fundamental frequency, matching the frequency of the second string vibrating at three times its fundamental frequency. The tension of the first string is given as 60 N. To find the tension of the second string, the relationship 2f1 = 3f2 is established, where f1 and f2 are the fundamental frequencies of the first and second strings, respectively. The formula f = (1/2L)√(T/m/L) is used to relate frequency, tension, and mass per unit length. The discussion concludes with a successful adjustment for harmonics to solve for the tension F2 of the second string.
pugtm
Messages
17
Reaction score
0

Homework Statement


Two ukulele strings, of equal length and mass are tuned so that the first string, when it vibrates at twice its fundamental frequency, has the same frequency as the second string when
it vibrates at three times its fundamental frequency. The tension of the first string is 60 N.
Calculate the tension F2 of the second string.
Answer in units of N.


Homework Equations


f=(1/2L)Sqrt(T/m/L)


The Attempt at a Solution


so here i am stuck as i tried to set 2f1=3f2
how do i adjust for the harmonics?
 
Physics news on Phys.org
You can use the formula

f = \frac{p}{2L}\sqrt{\frac{T}{m/L}} where p is the number of harmonics.
 
thanks yeah i got it
 
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top