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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

Verified Answer :

syed514

m1d1=m2d2
because gravity is constant to both side. Calculate the mass per length of the table, and find the amount of weight for one side of the leg and then multiply it by the length, which is 1.7m. The divide the product by the mass of the guy to get the length from the table.
and the answer is 0.3981m.

asifejaz20

Answer:

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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