Round Table Supported by 3 Legs

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To determine the minimum mass required to cause the 36-kg round table to overturn, the condition for overturning must be understood, specifically regarding the center of mass and the base of support. The mass must be positioned between two of the three legs to create a torque that exceeds the stability provided by the table's weight. Calculations involving torque and the distances from the pivot point (the edge of the table) are necessary to find the solution. The discussion highlights confusion about the relevant equations and the principles of balance and stability. Understanding these concepts is crucial for solving the problem effectively.
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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
 

Attachments

  • 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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