Sjack Abeling Gravity Wheel and the Worlds first Weight Power Plant

[stgpcm]

Not so. As seen from the drawing below, weight (Red) is 28.9009 while torque-generating force (Cyan) is 26.9533.

Unfortunately, the left hand arrow is somehow pushing through the guide onto the slot. How do you manage that?

[stgpcm]

That's a typo, it should have said "right hand arrow" not "left hand arrow" - although the point is the same - one component vector is pushing to one side of the guide, while the other component vector is pushing to the other

ETA:
I was confused by what you had done, you started with the weight above the guide, which is why you resolved red against it to obtain green. the short left green vector is perpendicular to the guide and is absorbed.
You then resolved the long green arrow against the slot, giving you a two cyan vectors. the right hand vector has nothing to react against which means the weight has fallen off the wheel.

In reality, the weight is being pushed up against the guide by the spoke - but your maths can't actually handle that at all -  in that case you should do a simple decomposition against the wheel, but you know that can't be right, because the guide has to be interacting in some way. So you do a bogus decomposition against it first - because you want to do it in two steps, and the last step must be against the wheel to get a torque.

[Omnibus]

The Cyan vector is the torque-generating vector, That's the only one that pushes to generate torque.

[i_ron]

Someone good for nothing tries to be my biographer for having nothing else to do (incapable, rather, of doing anything creative). Didn't I say there are lackeys-activists who try to divert the discussion from its fruitful direction? Here's one -- @i_ron.

Oh a fizzle... here I was hoping for a block buster,

well, back to directing your list, sorry to have interrupted.

Ron

[Omnibus]

Oh a fizzle... here I was hoping for a block buster,

well, back to directing your list, sorry to have interrupted.

Ron

You think you might not have been wrong in your hope? You have been. As in everything else. At least you saw it in this case.