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

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SUMMARY

The discussion focuses on calculating the frequency of oscillatory motion for a system of two masses, m1=100g and m2=200g, connected by a spring with a force constant k=0.5 N/m. The relevant equation for this calculation is ω = √(k/m), where ω represents the angular frequency. The system's center of mass moves at a constant speed due to the absence of external forces, allowing for independent oscillation of each mass around this center of mass. The geometry of the problem involves the two masses being side-by-side, connected by a single spring.

PREREQUISITES
  • Understanding of harmonic motion principles
  • Familiarity with the concept of angular frequency (ω)
  • Knowledge of center of mass calculations
  • Basic physics of springs and Hooke's Law
NEXT STEPS
  • Study the derivation of the frequency of oscillation for coupled oscillators
  • Learn about the effects of mass distribution on oscillatory motion
  • Explore the concept of normal modes in systems with multiple masses
  • Investigate the application of differential equations in modeling harmonic motion
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Students studying physics, particularly those focusing on mechanics and oscillatory systems, as well as educators seeking to explain the principles of harmonic motion and spring dynamics.

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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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