If you suspend two torsion (free string bobs, say) pendula from the same body, will giving one of the pair some spin, mean the other starts to rotate the same (or any other) way?

If not: explain why the angular momentum of the spinning weight is independent of the angular momentum of the other (assume the whole thing is inside a vacuum chamber).

If so: explain how the spin angular momentum of one weight is transferred to the other, and what the rotation amplitude of the second, initially motionless weight depends on. Does the second weight spin the same way (in phase), or out of phase? Do the spin states oscillate between parallel/anti-parallel, or stay in phase, and what does this oscillation depend on?

For extra credit, assume both pendula are rigid steel bars, coupled with ball-joints at either end (one at the top and one at the lower end), and with rigid steel disks as weights that can spin freely (i.e. gyroscopically).