28 Jun 05
3 edits
A (circular) coin is placed flat on a table so that it cannot slip.
An identical coin is now placed flat on the table, touching the first coin, and rolled completely around its circumference without slipping,
Relative to the first coin, how many complete revolutions does the second coin make?
28 Jun 05
Originally posted by THUDandBLUNDERI'm not sure what "realtive to the first coin" means. Relative to the table, the coin makes two complete revolutions....
A (circular) coin is placed flat on a table so that it cannot slip.
An identical coin is now placed flat on the table, touching the first coin, and rolled completely around its circumference without slipping,
Relative to the first coin, how many complete revolutions does the second coin make?
29 Jun 05
Originally posted by THUDandBLUNDEROne I think. I am not sure if I understood the question.
A (circular) coin is placed flat on a table so that it cannot slip.
An identical coin is now placed flat on the table, touching the first coin, and rolled completely around its circumference without slipping,
Relative to the first coin, how many complete revolutions does the second coin make?
29 Jun 05
1 edit
Originally posted by THUDandBLUNDERAm I right that the number of revolutions is one? As in, the center of the rolling coin went through one complete revolution around the center of the fixed coin?
What do you not understand?
A coin is rolled round an identical coin.
How many revolutions does it make relative to some fixed point?
29 Jun 05
Originally posted by AThousandYoungNope. That's why I posted it.
Am I right that the number of revolutions is one? As in, the center of the rolling coin went through one complete revolution around the center of the fixed coin?
Anyway, thanks for making it worthwhile. 😵
29 Jun 05
1 edit
Originally posted by XanthosNZIf I understand correctly, you're saying you have four coins arranged in a square that are fixed in place, and a fifth coin that is "rolled" around these four, maintaining contact with at least one coin at all times, and contacting two coins at once on 4 occasions, when it transfers contact from one coin to the next.
What if instead of one coin being rolled around you put 4 coins edge to edge so their centres form a square. How many rotations does it make now?
Then, assuming I've calculated correctly, that would be a total of three and a third revolutions.
29 Jun 05
Originally posted by AThousandYoungLet the radius of the coins be r.
Am I right that the number of revolutions is one? As in, the center of the rolling coin went through one complete revolution around the center of the fixed coin?
Now look at what distance the center of the moving coin travels. It's 4*pi*r. That's twice the circumfrence of the coin so it makes two rotations.