Equivalent spring constant of a system

AI Thread Summary
The discussion centers on calculating the equivalent spring constant of a system using two different methods, one based on theta and the other on a datum x. The user reports obtaining two different results, which raises questions about the accuracy of their approach. They seek clarification on whether an error was made in their calculations. The lack of responses suggests a need for more information or a clearer presentation of the problem. The inquiry highlights the complexities involved in determining equivalent spring constants in mechanical systems.
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Homework Statement

and the attempt at a solution[/B]
I tried to find the equivalent sprint constant using two points of equivalence. The first is with respect to theta. The second is with respect to the datum x as shown in the images below. The two methods yield two different answers which is not what I expected. Did I do something wrong?

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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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