Solving for Angular Frequency of 2 Masses on a Spring

[usamo42j]

Homework Statement

Two identical objects of mass m are placed at either end of a spring of spring constant k and the whole system is placed on a horizontal frictionless surface. At what angular frequency ω does the system oscillate?

Homework Equations

ω=√(k/m)

The Attempt at a Solution

Total mass is 2m, so ω=√(k/2m)

Apparently that's not right, though my answer does not really seem reasonable, as it should be oscillating faster than with one mass...?

 

[ehild]

Hi usamo,

Write out Newton's second law for both bodies.

ehild