Round Table Supported by 3 Legs

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SUMMARY

The discussion centers on calculating the minimum mass required to cause a 36-kg round table, supported by three legs, to overturn. The key condition for overturning is that the center of mass must extend beyond the base of support. The options provided for the mass are 12 kg, 24 kg, 36 kg, and 48 kg. The correct approach involves understanding the balance of moments and the position of the center of mass relative to the supports.

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Homework Statement



A 36-kg round table is supported by three legs placed equal distances apart on the edge. What minimum mass, placed in the middle between two supports on the table's edge, will cause the table to overturn?

a) 12kg
b) 24kg
c) 36kg
d) 48kg


Homework Equations



Not sure of any equations

The Attempt at a Solution



I attached a diagram I drew, but I don't know how to do any of the calculations
 

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  • Topplingtable.jpg
    Topplingtable.jpg
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I am not sure about math that will be best to solve the question, but first things first - do you know what condition must be fulfilled for the table to overturn?
 
I don't know the conditions
 
Something about center of mass and base...
 

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