Two masses on each end of a spring lying horizontally

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    Spring Two masses
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SUMMARY

The discussion revolves around the physics of two masses attached to a spring, specifically analyzing the equations governing the system's motion. The key formulas referenced include the period of oscillation, T = 2π√(m/k), and the potential energy stored in the spring, U = 1/2 kx². Participants seek clarification on the spring's extension and its implications on the system's dynamics. The conversation emphasizes the importance of accurately applying these equations to solve problems involving mass-spring systems.

PREREQUISITES
  • Understanding of Hooke's Law and spring constant (k)
  • Familiarity with basic harmonic motion principles
  • Knowledge of mass (m) and its role in oscillatory systems
  • Ability to manipulate algebraic equations for physics applications
NEXT STEPS
  • Study the derivation of the mass-spring system equations
  • Explore the effects of varying mass on the period of oscillation
  • Investigate energy conservation in oscillatory systems
  • Learn about damping effects in real-world spring-mass systems
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding oscillatory motion and spring dynamics.

James Ray
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Homework Statement



Screenshot_2016-05-18-19-42-04.png

Homework Equations


T= 2*pi*sqrt(m/k)
U=1/2*k*x^2

The Attempt at a Solution



https://www.physicsforums.com/attachments/100892,

20160518_211700.jpg
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Would you please explain your scribble? please type in your answer and work.
 
James, by how much was the spring extended?
 

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