Homework Help: The frequency(/time period) of oscillation for a 2 body spring system

1. Jan 15, 2012

abelthayil

1. The problem statement, all variables and given/known data

Two masses m1 and m2 are connected by a spring of spring constant k rest on a frictionless surface. If the masses are pulled apart and let go, the time period of oscillation is :

I know the answer is T(time period) = 2∏$\sqrt{((m1*m2)/(m1+m2))*1/k}$.
Can some one help me derive this equation. I know the concept is called reduced mass and think it uses the center of mass as the reference frame.

2. Jan 15, 2012

Spinnor

3. Jan 15, 2012

abelthayil

Thanks a TON !