2 vibrating strings and harmonics questions

[pugtm]

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?

 

[rl.bhat]

You can use the formula

$$f = \frac{p}{2L}\sqrt{\frac{T}{m/L}}$$ where p is the number of harmonics.

 

[pugtm]

thanks yeah i got it