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Why do 4 legged chairs wobble - tbn

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Here's the the abstract of the above paper:. We prove that a perfect square table with four legs, placed on continuous irregular ground with a local slope of at most We also discuss the case of non-square table s and make the conjecture that equilibrium can be found if the four feet lie on a circle.

BTW, I find it quite amazing that a result of so basic and of such practical applicability wasn't found until recently. Perhaps because the surfaces chairs and tables, beds, etc are placed on are flat by design with respect to earth's gravitational field. Square chairs and rectangular tables are also much simpler to arrange. So a one-off effort for multiple long-term gains that has existed since before anyone even thought of making a chair.

And if you want to sit down while you're fishing from a slanted river bank A three legged chair can never wobble, even on an uneven floor, because any set of three points is always coplanar. Above all, our bottoms are not triangular. The seat part of the chair is rectangular to match our bum and the legs and feet are generally positioned at the extremities of the rectangle; namely the corners.

This ensures that that provided our centre of mass is above the seat, and we are on a level surface, it will act downwards between the feet and the chair will be stable. However, with every leg we add greater than three, we increase the probability that the coplanar feet will deviate significantly from coplanar points on an uneven floor. In fact the probability of a noticeable wobble doubles as we move from the four to the five legged chair. Furthermore, the fifth leg and any subsequent ones, add nothing to stability since the extremities of the seat are already supported.

The exception to this rule would be a chair on which we may want to lean our bodyweight outside of the four legs, or on which the position of the legs may be unknown. In fact in such instances, such as on an office swivel chair, the chair will often have five castors. These more closely approximate a circle, thereby permitting us to push laterally in order to roll in any direction with stability, whereas a four-castor swivel chair would deliver unpredictable stability depending on whether you happened to push laterally towards a leg or towards the space in-between legs.

The four-legged chair is the chair with the minimum number of legs for whatever form of the sitting surface to let you move in two perpendicular directions with equal effort.

Leaning back, leaning forward, leaning right, leaning left. One leg will make you tumble Two legs will do that too Three legs are coming closer Four legs are the best for you. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.

Create a free Team What is Teams? Learn more. Why are four-legged chairs so common? Ask Question. Asked 5 years, 9 months ago. Active 5 months ago. Viewed 49k times. Or is it just a custom that started years ago and never changed? Improve this question. Karnivaurus Karnivaurus 2, 2 2 gold badges 12 12 silver badges 16 16 bronze badges.

But the statement is that a 3-legged chair is stable whilst sitting on the chair. Here, stability is used as a binary term, rather than a continuous measurement. In this way, if you sit on a 3-legged chair in a typical manner, the chair will be stable. Show 5 more comments.

Active Oldest Votes. Improve this answer. Kyle 6 6 bronze badges. John Rennie John Rennie k gold badges silver badges bronze badges. For example, if you have a table with legs of length 1m, 1m, 1m and 0. If you've got wonky legs your best option is a tripod unless your floor unevenness exactly counteracts your leg wonkiness of course!

I had things to do today! They are apparently used when milking cows. Furthermore, why do chairs get wobbly? It's quite common for wooden chairs to wobble slightly. This is caused from one leg that is longer than the others. It typically happens when the chair is assembled or shows up when the chair is used for a period of time.

Also Know, how do you reinforce a wobbly table? Your table may also need adjustable feet to stop the wobbling.

Macfarlane says that wobbly tables usually occur either because the table's legs are uneven or the floor beneath them isn't flat. If you suspect that this is the case, you'll need a furniture glide, a level, and a hammer.

Asked by: Floreano Kummerhofe sports horse racing How do you fix a wobbly chair? Last Updated: 18th March, Hold chair upside down.

Strike the seat firmly with a dead-blow hammer. Work around the chair , slowly loosening each joint. Missing bolts on one side of the seat plate will automatically cause the seat to list or collapse. Determine if the Table Is Uneven.

In some cases, the floor that the table sits on may be the cause of an uneven table. Use Cork or Rubber. A sheet of thin cork or rubber that is cut to the size and shape of the bottom of a table leg will level it off.

Table Levelers. Trimming the Legs. Place your hand on the stand and try shaking the stand. If the stand is safe and secure, it should be stable on its own. If you notice that the stand wobbles or is easy to move, you probably should consider another stand or anchor it with something heavy like weights at the bottom. If your floors are slanted, you can level the furniture in your home in several different ways. Check the legs on the piece of furniture.

Place a thin, angled item under the "short" leg or side of the furniture. Position a throw rug on the floor and place a shim under the rug. You can repair almost any corner with glue and sandpaper. Insert the tip of a utility knife into any cracks or splits on the corner.

Wrap the corner tightly with masking tape until glue oozes out the cracks. Remove the tape.


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