Young's Modulus Brass Wire Question

[gspsaku]

Homework Statement

A 10 kg load suspended by a brass wire 10 m long is observed to vibrate vertically in SHM at a frequency of 10 vib/s. Given that the Young's modulus for brass is

, what is the cross-sectional area of the wire?

So we know:
m = 10kg
l = 10m
f = 10Hz
Y = 9x10^10

Homework Equations

Y = (F/A)/(delta l/l)

The Attempt at a Solution

We have solved Young's modulus problems but they have been very basic. Since this one includes what appears to be some sort of vertical movement/vibration, I don't know what to do because I don't know how the vib/s or Hz comes into play...

 

[TSny]

If you have studied SHM, then you know that a body moves in SHM when the body is subject to a force obeying Hooke's law. Did you learn how the vibrational frequency is related to the mass of the body and the force constant in Hooke's law?

 

[gspsaku]

If you have studied SHM, then you know that a body moves in SHM when the body is subject to a force obeying Hooke's law. Did you learn how the vibrational frequency is related to the mass of the body and the force constant in Hooke's law?

We did and I'm working on it and I think I'm on my way...

At first I was so confused by the SHM because I had never seen it with any Young's mod problem but I am using Hooke's and Young's mod to find the actual stretch.

I was able to isolate the k constant and I think maybe I can solve this

 

[TSny]

Sounds good.