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. the top of the table is 0.80 m tall

0.318 m

Explanation:

If the moment due to the person’s weight is equal to the moment due to weight of table, table will not tip over.

Moment due to table = Moment due to person         ………… (i)

Moment due to table = (20)(9.8)(0.6) = 117.6 Nm

Moment due to person = (66)(9.8)(0.5-x) = 323.4 – 646.8x Nm

Where, x is the distance of person from the edge.

By putting values in equation (i),

117.6 = 323.4 – 646.8x

solving for x,

x = 0.318 m

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