Four small balls are placed at the corner of a square of length l. Evaluate MOI of system about a line passing through A and parallel to BD.
1)\(\sqrt3ml\)
2)\(3ml^2\)
3)\(2ml^2\)
4)\(ml^2\)
The correct option is 2) 3\(ml^2\)
\(I=2m({l\over\sqrt2})^2 +m({\sqrt2l)^2}\)
\(={2ml^2\over 2}+2ml^2=3ml^2\)