Round Table Supported by 3 Legs

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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
  • Diagram of a round table on three legs with a 22kg mass hanging at its centre, and a circle with an inscribed equilateral triangle ABC with centre O, the chord AB and mass m marked below the edge with labels d, r and r-l.
    Topplingtable.jpg
    9.2 KB · Views: 630
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?