Effective spring constant of two springs latched headon

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SUMMARY

The effective spring constant for two springs joined side by side can be calculated using the formula for springs in parallel. If spring constants are k1 and k2, the effective spring constant (k_eff) is given by k_eff = k1 + k2. The discussion highlights a common misconception regarding the application of force equations for individual springs, emphasizing the need to consider the combined effect of both springs. Reference to the Wikipedia article on series and parallel springs provides additional clarity on this topic.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with spring constants
  • Basic knowledge of force and displacement in physics
  • Concept of springs in parallel vs. series
NEXT STEPS
  • Review the derivation of effective spring constants for parallel springs
  • Study the differences between springs in series and springs in parallel
  • Explore applications of effective spring constants in mechanical systems
  • Read the Wikipedia article on series and parallel springs for further insights
USEFUL FOR

Students preparing for AP Physics, educators teaching mechanics, and anyone interested in the principles of spring mechanics and their applications.

duckblase
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In the Princeton Review for AP Physics, there is a question on calculating the effective spring constant when two springs are joined side by side, like so:

spring 1 spring 2
|~~~~~~ ~~~~~~[mass]

Their spring constants are k1 and k2.

How would you go about answering the question? The book starts by saying F = -k1/x1 and F = -k2/x2, where F is the net force, and x1 and x2 are the displacements for each spring, but this does not seem right to me. Is it?

Thanks!
 
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Hi, and welcome to Physics Forums! :smile:

It's probably not right, but what are the next couple of lines in the derivation they are showing? Once we know that, we can see what they are angling at. :wink:
 

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