Solving for Angular Frequency of 2 Masses on a Spring

AI Thread Summary
The problem involves two identical masses attached to a spring on a frictionless surface, requiring the determination of the system's angular frequency. The initial attempt calculated the angular frequency as ω=√(k/2m), which was questioned for its validity since it suggests a slower oscillation than expected. The correct approach involves applying Newton's second law to both masses to derive the proper equation for angular frequency. The discussion emphasizes the need to consider the total effective mass in the system's oscillation. Understanding the dynamics of both masses is crucial for accurately determining the angular frequency.
usamo42j
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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...?
 
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Hi usamo,

Write out Newton's second law for both bodies.

ehild
 

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