Spring constant in mass spring combinations

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SUMMARY

The discussion focuses on deriving the total spring constants for different mass-spring systems using the formula F = kΔx. Participants emphasize the importance of treating forces in parallel configurations as equal, specifically F(total) = F1 = F2, while acknowledging the challenge of understanding this relationship. The conversation also references the need for practical tools, such as spring balances, to aid in comprehension and experimentation.

PREREQUISITES
  • Understanding of Hooke's Law (F = kΔx)
  • Familiarity with mass-spring systems
  • Knowledge of parallel and series spring configurations
  • Basic physics concepts related to force and displacement
NEXT STEPS
  • Research the derivation of total spring constants in series and parallel configurations
  • Explore practical applications of spring balances in measuring force and displacement
  • Study the effects of mass on spring constant calculations
  • Learn about oscillation dynamics in mass-spring systems
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of mass-spring systems and their applications in real-world scenarios.

mrcotton
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Homework Statement



How do we derive the total spring constants of different mass spring systems

Homework Equations



F= kΔx

The Attempt at a Solution



series_zps7ddf38f3.jpg
 
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I have just realized this is similar to this thread
https://www.physicsforums.com/showthread.php?t=711957
I was told to treat this as F1 = F2 and the displacements are equal.
I am struggling to convince myself that F(total) = F1=F2
any help gratefully received
 
parrallelLR_zpsec5564bc.jpg


In the parrallel case I can see how the displacement is the same but again I am confused by the forces.
I guess I need a couple of spring balances
 

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