John Freestone
Graduate Poster
Ok. Assuming that I understand Myriad's odd way of drawing stuff, if the chain is drawn right and drives the inner wheel without any slip, which is fixed to the larger wheel, and that is located similarly without slipping in teeth on a fixed surface, the wheel ought to progress to the left (oddly, a big arrow suggests otherwise, but I can't see how that could be possible). The notes even describe this as a down-chain crawler moving at v, with that arrow pointing right. That must surely not even conform to your suggestion of just tugging on the chain towards the right. You both seem to be so confused as to what is driving what in any given situation, it's no wonder you can't explain it to me.All right. Okay. Let's give it a try.
Forget about the propeller-based device for now. Just forget about it.
Look at this device (illustration by Myriad):
![]()
Using the laws of physics, answer these questions:
When you pull on the upper chain towards the right, will it move? Will the wheel move? If the chain moves, and the wheel moves, and the chain's velocity towards the right is v, what is the velocity of the wheel?
Note: when answering these question, please do not refer to the propeller-based device. Refer only to this one.
If the thing is at rest and the chain is pulled right, that will try to rotate the wheels together over their resting position on the track, if I'm not mistaken. However, if that point of contact to the track is unslippable, the reverse should take place. The chain pulling on the inner wheel (assuming the chain can just move any distance we like to the right) would drive the wheel round its centre, forcing it to the left. It has to be in that sense, but I'm not sure what the speed would be. Somewhere in the region of 2v woud be my guess. The relative circumferences or radii aren't given. It would depend on that.
I'll come to the other mystical creations of myriad later. Please go on.
ETA: Whoops, no that's probably all wrong, now I've thought about it more. Maybe the wheel and chain can both move right as depicted. I think so. the wheel can be rolling right over the chain, which is also moving right wrt the track, but left wrt the wheel. Yeah?
Last edited: