I am working on a particular type of pendulum called the Flying Pendulum. I did not find anything on the internet on the physics behind its working and so I am trying to prove that
Here is a flying pendulum video that shows the working of the pendulum : https://www.youtube.com/watch?v=xWCmXvWM0ZY
1) In order for a clock to function, the movement has to be isochronous! The pendulum should follow SHM. BUT DOES BEING ISOCHRONOUS MEANS THAT A PENDULUM IS FOLLOWING SHM?
2) I did an experiment and I have data with different lengths, time period, velocity, acceleration and the angle is 20 degrees. I used small angle approximaion for it and I know about the second differential equation.
However, I want to do a general conjecture kind of explanation by proving LHS = RHS showing that a flying pendulum also follows SHM. But I am really confused how to do that! Could someone please help me with this?
Thanks for your help