Thee spheres each of mass M and radius R are placed in contact with each other as shown in the figure here. Then the moment of inertia of the system about the axis CC' is

Options

A. `(15)/(2)MR^(2)`
B. `(27)/(4)MR^(2)`
C. `(36)/(5)MR^(2)`
D. none of the above

Answer

C

Explanation

`I=I_(g)+Mh^(2)`
`= (2)/(5)MR^(2)xx3+2Mxx3R^(2)`
`I = (36)/(5)MR^(2)`.