Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is

Options

A. `209/15 MR^(2)`
B. `152/15 MR^(2)`
C. `17/15 MR^(2)`
D. `137/15 MR^(2)`

Answer

D

Explanation

`I=(2/5 MR^(2) + MR^(2) 4) + (MR^(2))/3 = 137/15 MR^(2)`