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

AI Thread Summary
The discussion focuses on deriving the time period of oscillation for a two-body spring system with masses m1 and m2 connected by a spring of spring constant k. The correct formula for the time period is T = 2π√((m1*m2)/(m1+m2) * (1/k)), which involves the concept of reduced mass and the center of mass reference frame. Participants are encouraged to refer to the provided link for a deeper understanding of the derivation. The emphasis is on applying the principles of mechanics to arrive at the solution. Understanding these concepts is crucial for solving similar physics problems effectively.
abelthayil
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Homework Statement



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.
 
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