Three 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. `5MR^(2)`
D. `(7)/(2) MR^(2)`

Answer

D

Explanation

`I= I_(1) + I_(2) + I_(3)`
`rArr (MR^(2))/(2) + (3MR^(2))/(2) + (3MR^(2))/(2)`
`rArr (7MR^(2))/(2)`