Three identical thin rods each of length l and mass M are joined together to form a letter H. What is the moment of inertia of the system about one of the sides of H?

Options

A. `(1)/(6) Ml^2`
B. `(1)/(4) Ml^2`
C. `(2)/(3) Ml^2`
D. `(4)/(3) Ml^2`

Answer

D

Explanation

Moment of inertia of the system about rod A
`I = I_(A) + I_(B) + I_(C) = 0 + ((Ml^2)/(12) + (Ml^2)/(4)) + Ml^(2) = (4)/(3) Ml^(2)`