How to determine length of a spring

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SUMMARY

To determine the length of a spring without visual information, utilize the spring rate and the change in object position from uncoiled to fully coiled states. Hooke's Law is applicable, but ensure to account for damping effects in the system, including compression and rebound resistance rates. Accurate calculations require integrating these parameters to derive a sensible length equation.

PREREQUISITES
  • Understanding of Hooke's Law and its application in spring mechanics
  • Knowledge of spring rate and its significance in determining spring behavior
  • Familiarity with damping systems and resistance rates in mechanical systems
  • Basic algebra for manipulating equations related to spring length
NEXT STEPS
  • Research the application of Hooke's Law in damped systems
  • Learn about calculating spring length using spring rate and displacement
  • Explore methods for measuring resistance rates in compression and rebound
  • Investigate practical examples of spring length determination in engineering
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Mechanical engineers, physicists, and students studying mechanics who need to understand spring dynamics and length determination in damped systems.

Nicholas Morse
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Hi Everyone,

Kind of a tough question here. How do I determine the length of a spring if we don't have any visual information about it? All we have is the spring rate & change of object position from when the spring is uncoiled, to fully coiled.

Anyone have any ideas on this? I tried the hooke's law formula but it gave me some goofy length equations which wouldn't make sense.
 
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Also, the system is dampened and we have the resistance rates of the compression and rebound resistance.
 

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