Express X in terms of L1, L2 and L3. Circle within Circle.

[metole7417]

I do not know if there is a solution to the problem.

With the aid of CAD Software, I get X = 3.5 when L1=7.082, L2=0.684, L3=0.876. I don't know how accurate this is.

My intuition says there should be a expression for X but I am yet to solve it. Any ideas?

 

[jvicens]

I understand your frustration with not being able to find a solution to a problem. However, I would like to offer some suggestions that may help you find a solution.

Firstly, I commend you for using CAD software to aid in your calculations. This is a great tool for visualizing and manipulating data, but it is important to remember that the accuracy of the results is dependent on the accuracy of the input values. If you are unsure about the accuracy of your input values, it may be worth double-checking them or finding a way to verify their accuracy.

Additionally, it is important to consider the limitations of CAD software. While it can be a powerful tool, it may not be able to solve complex equations or provide a comprehensive solution to a problem. In these cases, it may be necessary to turn to other methods, such as numerical or analytical methods, to find a solution.

I also encourage you to continue exploring different approaches to solving the problem. As scientists, we must be open to trying new methods and thinking outside the box in order to find solutions. It may also be helpful to collaborate with other scientists or seek advice from experts in the field.

Lastly, I want to remind you that not all problems have a clear and simple solution. Sometimes, the best we can do is to find approximations or workarounds. As you continue to work on this problem, keep an open mind and be willing to accept solutions that may not be perfect but can still provide valuable insights.

Best of luck in your endeavors, and I hope you are able to find a solution to this problem.