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

Options

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

Answer

D

Explanation

Moment of inertia of the system about rod x shown in the figure

`l=l_(x)+l_(y)+l_(z)=0+((Ml^(2))/(12)+(Ml^(2))/(4))+Ml^(2)=(4)/(3)Ml^(2)`