How Far Can a Person Sit on a Table Without Tipping It Over?

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    Figure Table
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Homework Help Overview

The problem involves determining how far a person can sit on a table without causing it to tip over. The context includes a 20kg table and a 66kg person, with specific dimensions provided for the table and its legs.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the conditions under which the table tips, questioning the balance and center of gravity. There is an attempt to identify relevant equations, though uncertainty remains about their application.

Discussion Status

Participants are exploring the mechanics of tipping and the implications of weight distribution. Some guidance has been offered regarding the symmetry of the table and the importance of visualizing the problem through diagrams.

Contextual Notes

There is a lack of clarity regarding the specific equations to use and how to apply them to the problem. The discussion reflects uncertainty about the physical principles involved in tipping and balance.

ssnapier
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Homework Statement



How Close to the edge of a 20kg table, can a 66kg person sit without tipping it over?
The table is 2.2m long and there are two legs placed 0.5 m from each end of the table with 1.2 meters between the two legs and the top of the table is 0.80 m tall


Homework Equations



I am totally at a loss here, do I use r/R=Fd/gravity?

The Attempt at a Solution

 
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The question you need to ask is why does the table tip up at all?
 
It tips because the guy sits on the edge and disturbs the balance (changes the center of gravity). I still have no idea how what equation I should be using.
 
The table is symmetric, and you can assume that its mass acts from the centre of the tabletop. If you draw yourself a diagram you should see what's going on. Let me know if you don't!
 

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