A particle mass `m` is attached to a thin uniform rod of length a at a distance of `(a)/(4)` from the mid-point C as shown in the figure. The mass of the rod is `4m`
The moment of inertia of the combined system about an axis passing through O and perpendicular to the rod is

Options

A. `(91)/(48)ma^(1)`
B. `(27)/(48)ma^(2)`
C. `(51)/(48)ma^(2)`
D. `(64)/(48)ma^(2)`

Answer

A

Explanation

In given condition, the moment of inertia of the combine system about an axis passing through O is
`I=(4)/(3)ma^(2)+m((3a)/(4))^(2)rArr I=(91)/(48)ma^(2)`.