Four rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY' will be

Options

A. `3MR^(2)`
B. `(3)/(2)MR^(2)`
C. `4MR^(2)`
D. `(7)/(2)MR^(2)`

Answer

C

Explanation

Moment of inertia of system about YY'
`I=2I_(1)+I_(2)+I_(3)`
`= 2(MR^(2))/(2)+(3)/(2)MR^(2)+(3)/(2)MR^(2) = 4 MR^(2)`.