A thin rod of length 4l, mass 4 m is bent at the point as shown in the figure. What is the moment of inertia of the rod about the axis passing through O and perpendicular to the plane of the paper?

Options

A. `(ml^(2))/(3)`
B. `(10ml^(2))/(3)`
C. `(ml^(2))/(12)`
D. `(ml^(2))/(24)`

Explanation

`r=sqrt(l^(2)+(l^(2))/(4))=(sqrt(5))/(2)l`
`I=2[I_(1)+I_(2)]=2[(ml^(2))/(3)+((ml^(2))/(12)+mr^(2))]`
`=(10)/(3)ml^(2)`