Three spheres, each mass M and radius R, are arranged as shown in the figure . The moment of inertia of the system will be

Options

A. `21//5 MR^(2)`
B. `16//5 MR^(2)`
C. `7//2 MR^(2)`
D. `4//5 MR^(2)`

Answer

B

Explanation

`I = I_(d)+2 I_(t)`
`= (2)/(5)MR^(2)+2xx(2)/(5)MR^(2)`
`= (16)/(5)MR^(2)`.