Effective spring constant of two springs latched headon

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To calculate the effective spring constant of two springs joined side by side, the correct approach involves understanding how the forces and displacements relate to each spring's constants, k1 and k2. The initial equations provided, F = -k1/x1 and F = -k2/x2, may not accurately represent the system without further context. The discussion suggests reviewing the subsequent lines in the derivation for clarity. Additionally, a Wikipedia article on series and parallel springs can provide further insights into the topic. Understanding the configuration of the springs is crucial for determining the effective spring constant correctly.
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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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