Calculating Frequency of Harmonic Motion for Two Masses Connected by a Spring

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To calculate the frequency of oscillatory motion for two masses connected by a spring, the relevant equation is omega = sqrt(k/m). The system consists of two masses, m1 = 100g and m2 = 200g, connected by a single spring with a force constant k = 0.5 N/m. The center of mass moves at a constant speed due to the absence of external forces, allowing each mass to oscillate around this point. The geometry of the problem clarifies that the two masses are side-by-side, connected by the spring. Understanding these dynamics is crucial for solving the problem effectively.
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Two masses m1=100g and m2=200g slide freely in a horizontal frictionless track and are connected by a spring whoser force constant is k=.5 N/m. Find the frequency of oscillatory motion for this system.

Could someone give me a hint/help me get started on this? What equation(s) should I use? I know omega = sqrt (k/m).

I haven't done any problems like this since introductory physics 3+ years ago, so any help would be greatly appreciated!
 
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what's the geometry of the problem? are the two masses connected side by side? or what?
 
The two masses are side-by-side with a spring connecting them...
 
Ok so there's a spring that goes to mass 1, then there's a spring that goes to mass 2?
 
Two masses connected by a single spring
m1 --------m2

I hope this helps to make the geometry clear.
I need help with this urgently :)
 
Here's a hint: The center of mass of the system moves at a constant speed, since there is no external force on the system. So you can think of each mass oscillating (on its own shorter spring) with respect to that center of mass.
 

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