The Broom Riddle (Solution) ft. Kurt Hugo Schneider part 3/3

To my eyes there's definitely a direct way to solve the bonus riddle: compare the arctangents of 1, 1/2, and 1/3 and see how they compare, but I feel like there's probably some more layman friendly way to do it than via plug and chug trig.
I suppose you could always just cut the shapes out of the paper and line them up to check.  I dunno, that's what I've got after pondering on it for a bit.

As for the more massive longer handle balancing against a less massive shorter sweeper I guess it works if you're in zero gravity?
Or if one end is magnetized and being acted upon by a magnetic field to balance the forces.
That's all I've got.