A thin rod of length l and mass m is turned at mid-point O at angle of 60°. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

Options

A. `ml^(2)//3`
B. `(ml^(2))/6`
C. `(ml^(2))/8`
D. `(ml^(2))/12`

Answer

D

Explanation

M.I. of a uniform rod about one end =`(ml^(2))/3`
M.I. of the system=`2xx(m/2)((l//2)^(2))/3=(ml^(2))/12`