The moment of inertia of a thin uniform rod of mass `M` and length `L` about an axis passing through its mid-point and perpendicular to its length is`I_0`. Its moment of inertia about an axis passing through one of its ends perpendicular to its length is.

Options

A. `I_(0)+ML^(2)//4`
B. `I_(0)+2ML^(2)`
C. `I_(0)+ML^(2)`
D. `I_(0)+ML^(2)`

Answer

A

Explanation

The theorem of parallel axis for moment of inertia
`I = I_(0) + M (L/2)^(2)`
` I = I_(0)+(ML^(2))/4 `