1.

A round table .................

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Solution :
`a/sqrt(2)=R=10` ('a' is the side of SQUARE)
`a=10 sqrt(2)`
If COM of system is OUTSIDE the square ABCD then table will topple. In the limiting case, taking origin at 'm',
`(R-a/2)=(m(0)+MR)/(m+M)`
`MXX(R-a/2)=Mxxa/2`
`:. m=10/((sqrt(2)-1)) kg`


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