Spring problem in British units

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SUMMARY

The discussion centers on the application of Hooke's Law using American units in a spring problem. The spring constant is given as k=2 lb/in, and the force is calculated as F=-k x, resulting in a force of 10 lb. It is established that while calculations can be performed using imperial units, mixing SI units with imperial units in the same equation is incorrect and can lead to errors. Therefore, it is crucial to maintain consistency in unit systems throughout the calculations.

PREREQUISITES
  • Understanding of Hooke's Law and its formula F=-k x
  • Familiarity with American (imperial) units, specifically pounds and inches
  • Basic knowledge of unit conversion between imperial and SI units
  • Experience with spring mechanics and dynamics
NEXT STEPS
  • Research unit conversion techniques between imperial and SI units
  • Learn about the implications of using different unit systems in physics problems
  • Explore advanced applications of Hooke's Law in engineering scenarios
  • Study the effects of spring constants on system dynamics and behavior
USEFUL FOR

Students in physics or engineering courses, educators teaching mechanics, and anyone working with spring systems in imperial units.

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Homework Statement



ok this might be a stupid question but I am working on a problem with springs and velocity and whatnot. anyways the units are american, 5lb, k=2lb/in, the diagram is dimensioned in inches. do i have to convert all them to N,kg,and meters.


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The Attempt at a Solution

 
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I'm not American nor have I ever used the imperial system for units, however seeing as the topic is called springs, I assume you're wondering if you can plug the values in Hooke's law without worrying about units? You can but you have to be careful, for example: [tex]F=-k x=- \frac{2 lb}{in} 5 in=10 lb[/tex]. So the unit of force is now pound-force instead of Newtons. Just don't mix SI units with imperial units in the same equation.
 

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