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)`

Explanation

`I_(1)=(2)/(5)M(R//2)^(2)`
`I_(2)=I_(0)+Md^(2)=(2)/(5)M(R//2)^(2)+M(2R)^(2)`
`I_(2)=I_(0)+Md^(2)=(2)/(5)M(R//2)^(2)+M(2R)^(2)`