[LB7 (OP)]

I updated the program of the numerical integration:


bsge.png (101.95 kB . 567x847 - viewed 1751 times)

[LB7 (OP)]

The forces can be draw like that:


vs63.png (50.53 kB . 899x752 - viewed 1625 times)

I have a torque with F1 around A0  on the red wall, that torque gives the energy : watom+=Ratom*(a2-a1); with Ratom the radius of the needle. watom is very small compared to the energy wcircle less wredwall. The energy from F4 is exactly the energy needed for F3.

And the numerical integral is:


bgznn.png (108.89 kB . 714x853 - viewed 1531 times)

I didn't multiply with k the results because the precision of the long double is 18 decimal digit and when I multiply with 1e10 I add some bad random digits.


bgjq.png (12.09 kB . 871x71 - viewed 1625 times)

More the needle is bigger more the difference of energy is smaller.


uj2.png (130.43 kB . 738x841 - viewed 1517 times)