Question

A rod of length `L` is made of a uniform length `L//2` of mass `M_(1)` and a uniform length `L//2` of mass `M_(2)`,
The `M.I` of rod about an axis passing through the geometrical center and `bot^(ar)` to length
A. `(1)/(3)(M_(1)+M_(2))L^(2)`
B. `(1)/(12)(M_(1)+M_(2))L^(2)`
C. `(1)/(6)(M_(1)+M_(2))L^(2)`
D. `(1)/(4)(M_(1)+M_(2))L^(2)`

Answer 1

`I_(ax is)=I_(1)+I_(2)=(1)/(3)M_(1)((L)/(2))^(2)+(1)/(3)M_(2)((L)/(2))^(2)`
`=(1)/(12)(M_(1)+M_(2))L^(2)`