Depleted Uranium or, you know, wood I'd imagine something like oak, versus a lighter wood like rattan
Probably as a conditioning tool - get good with the heavy ones and the light ones become super light.
Well, not entirely. Hitting someone with them is about force (F = m*a) and/or torque (τ = I * α), so mass is a factor in it.
Kamagong is a hard wood from the Philippines that's quite heavy. Kamagong eskrima sticks (baston) are very heavy. I'd assume these chaku are as well: http://www.valleymartialarts.com/index.php?main_page=product_info&products_id=276
Always but more speed in this case than weight. Heavy won't behave in the same way and Bruce wouldn't be happy
Weight is significant to an extent - too light and you're not moving enough mass. Too heavy and you can't move it well enough. Which goes back to my other statement about overly heavy being good for training - you'll get better at using the lighterweight ones. This is also about the point that an argument starts to come up about where to hold the nunchaku too - holding it away from the chain increases torque (increases I) but increases difficulty of use (greater training is required to control it). So it all depends on your goals with the weapon...
I'm assuming the lightest is the oak that most of them are made of? They're a far fetched weapon at best. A yo-yo for martial artists
Get a set of chucks, double the girth (please!) Remove the chain, glue the two ends together You've turned a toy into a weapon
"Girth"? Get your mind out of the gutter. We are talking about wood (oh my, got you back into the gutter again) Heavy meaning weight, or hardest?