What is the Resonant Frequency of a Driven, Undamped Oscillator?

[Varnson]

Driven, damped oscillator - URGENT!

Homework Statement

A driven, undamped oscillator has an amplitude of 3.0cm at a driving frequency of 9 rad/s and an amplitude of 2.4cm at a driving frequency of 7 rad/s. What is the resonant frequency of the oscillator?

Homework Equations

A = (F0/m)/(w0^2-w^2)

The Attempt at a Solution

My prof. gave me the above formula as a hint, but I have no idea where to start from and what to do. Thanks for the help!

 

[nicksauce]

The resonant frequency is $$\omega_0$$. It looks like you have two formulas, and two unknowns: $$F_0 / m$$ and $$\omega_0$$. Should be solveable.

 

[Varnson]

I solved it, for some reason I just couldn't see it adn it was sitting in front of me lol. Thanks for the help!