Question

Let `I_(1)` and `I_(2)` be the moment of inertia of a uniform square plate about axes shown in the figure. Then the ratio `I_(1):I_(2)` is
A. `1:(1)/(7)`
B. `1:(12)/(7)`
C. `1:(7)/(12)`
D. `1:7`

Answer 1

`I_(1)=(ma^(2))/(12)`
`I_(2)=I_(1)+mr^(2)`
`=(ma^(2))/(12)+(ma^(2))/(2)`
`=(7)/(12)ma^(2)`
`thereforeI_(1):I_(2)=1:7`