Real vs Ideal Springs: How Do Forces and Stretches Compare?

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SUMMARY

This discussion focuses on the comparison between real springs and ideal springs in terms of force exertion and stretch. A real spring, which possesses mass, exerts a greater force on an attached mass compared to an ideal spring, resulting in a smaller stretch. The analysis includes the necessity of free body diagrams to illustrate the differences in force dynamics between the two types of springs. Key concepts include Hooke's Law and the impact of mass on spring behavior.

PREREQUISITES
  • Understanding of Hooke's Law
  • Knowledge of free body diagrams
  • Familiarity with the concepts of force and mass
  • Basic principles of mechanics
NEXT STEPS
  • Study the implications of mass in spring dynamics
  • Explore advanced applications of Hooke's Law in real-world scenarios
  • Learn about the differences between elastic and inelastic materials
  • Investigate the effects of damping in spring systems
USEFUL FOR

Students studying physics, engineers working with mechanical systems, and anyone interested in the practical applications of spring mechanics.

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Homework Statement



Since a real spring has mass, if another mass was attached to it, would the spring exert a greater force on the mass and have a smaller stretch, versus if this spring was an ideal spring?
 
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Show a free body diagram for both cases.
 

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