Sum of torque

[EOW]

I kind of find it funny that a ring or a disc might be able to use different formulas just because it is either a ring or a disc.

me too... I don't find the formula in Internet but anyway it's works with a ring, and this idea can be use with a ring.

you tested on what software ?

You tested on a real machine ? where you speak about it ? you must apply torque only a red point, ideally the torque must be applied a very short of time (function of the rotationnal velocity), this need sensors, precise electronic control, etc. You built a mortor like that ?

[EOW]

Trajectories can be like first image or like second image if w1 and w2 are choosen correctly (depends of the radius).

[EOW]

No, it's not the same principle. My idea is to use external objects (or something external like air), it's very important because your link shows a system "close" nothing external. Or something fixed to the ground that can recover energy. Here all the system turn no ? And like I said, it's not possible to give a torque like that. You must apply the torque when w1=w2, this in a short time, you need sensors and electronic command.

[EOW]

I don't understand your message, maybe if you drawn an image I can. Where are results of your tests and the model to test, have you image and link ?

Where is the torque in your system if you apply an equal force in opposite directions on opposite sides of the disc?

look at image of post #16, there is a torque due to external object (that can be done with fixed and controlled coils). And look at trajectories of points with w1 and w2, it's not a point, it's a line, your coil must recover energy perpendiculary to the trajectory, like the shock with balls for example. It's not easy to build. I don't know your system and if I can watch what you do I can say if it's the same or not.

For my study, the trajectory must be good for have a torque, like image shows. Maybe it's not the best. Choose point at P1/P2 and adjust the mass of object to schock for have the same force (in value).

[EOW]

Like that, there is a torque ?