Two spheres each of mass `M` and radius `R//2` are connected at their centres with a mass less rod of length `2 R`. What will be the moment of inertia of the system about an axis passing through the centre of one of the sphere and perpendicular to the rod ?

Options

A. `21/5 MR^(2)`
B. `2/5 MR^(2)`
C. `5/2 MR^(2)`
D. `5/21 MR^(2)`

Answer

A

Explanation

`I=2[2/5M(R/2)^(2)]+M(2R)^(2)`