Longitudinal and Transverse waves transmitting at same Veloc

[Buster R]

Homework Statement

A picture of the problem can be found here: https://gyazo.com/a92447dcfebed53d4cbd12fc94300d9c[/B]

Homework Equations

So, I've already finished part A. For part B, I'm trying to figure out how to equate the two with mass on either side of the equation so that I can solve for it.

The Attempt at a Solution

Transverse wave speed = SQRT(tension/u), substitute (p*pi*d² / 4)for mu since I don't have it -> V = SQRT(4T/p*pi*d²) where T is tension and p is rho.


Now I need to find a formula for speed of longitudinal wave that includes mass so that I can equate the two velocity formulas and solve for mass.

Any advice is much appreciated!
[/B]

 

[Sunil Simha]

All you need to do is get the equation for the speed of a longitudinal wave in solids. I think this http://mysite.du.edu/~jcalvert/waves/mechwave.htm may help :).