A kitchen has an uneven floor. There are no steps but the continuous random waviness of the floor is such that when one tries to place on it a small square table with four legs, one leg is usually off the floor, causing the table to wobble. If one doesn't mind the table top being at a slant, is it always possible to find a place where all four legs are firmly on the floor? Or can a floor wave in such a way that no such spot is available? The four table legs are equal in length.
Cinelli
Got a credit card? use our Credit Card & Finance Calculators
Thanks to Rhyd6,eyeball08,Wondergirly,bofh,johnstevens77, for Donating to support the site
Wobbly
-
- Lemon Quarter
- Posts: 2564
- Joined: November 4th, 2016, 3:36 pm
- Has thanked: 1104 times
- Been thanked: 1165 times
Re: Wobbly
Spoiler
Yes.
Place the table so that it wobbles on two opposite legs (the only way it can wobble!).
Rotate the table so that it wobbles on the other two legs.
As you rotate the table, there will be a position where the wobble changes from one pair of opposite legs to the other pair. At this position, all four legs will be on the floor so the table will not wobble.
Julian F. G. W.
Yes.
Place the table so that it wobbles on two opposite legs (the only way it can wobble!).
Rotate the table so that it wobbles on the other two legs.
As you rotate the table, there will be a position where the wobble changes from one pair of opposite legs to the other pair. At this position, all four legs will be on the floor so the table will not wobble.
Julian F. G. W.
Return to “Games, Puzzles and Riddles”
Who is online
Users browsing this forum: No registered users and 28 guests