|
Registered
Join Date: Jan 2002
Location: Nor California & Pac NW
Posts: 24,802
|
How Good Is Your Intuition, 2? (Another Mind-Teaser)
I am told this question was on a recent SAT test.
Two coins lay flat on a table top .
The small one has radius 1, the large one has radius 3 .
The large coin is fixed, no motion (translation or rotation).
The small coin is placed so that it's edge touches the edge of the large one. The small coin is then rolled
clockwise around the edge of the large coin. The coins' edges do not slip where they touch (think of gears).
How many times will the small coin rotate around its own center, before the center of the small coin returns to its original location?
For all you weasels:
- the coins are round and they cannot be deformed, Schumi
- there is no effing thermal expansion, Randy
- rotation and translation are measured relative to the tabletop, so no good telling me about how the earth rotates or the milky way rotates
-
Last edited by jyl; 01-18-2011 at 07:29 PM..
|