Question

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)\(ml^2\)

 

Answer 1

The correct option is 2) 3\(ml^2\) 

\(I=2m({l\over\sqrt2})^2 +m({\sqrt2l)^2}\) 

\(={2ml^2\over 2}+2ml^2=3ml^2\)