Three thin rods each of length Land mass M are placed along x, y and z-axes such that one of each rod is at origin. The moment of inertia of this system about z-axis is

Options

A. `(2)/(3) ML^(2)`
B. `(4ML^(2))/(3)`
C. `(5ML^(2))/(3)`
D. `(ML^(2))/(3)`

Answer

A

Explanation

Moment of inertia of the rod lying along Z-axis will be zero. Moment of inertia of the rods along X and Y-axis will be `(ML^(2))/(3)` each. Hence, total moment of inertia is `(2)/(3)ML^(2)`