Three thin uniform rods each of mass M and length L are placed along the three axes of a cartesian coordinate system. The moment of inertia of the system aboutz-axis is

Three thin uniform rods each of mass M and length L are placed along t

1.	Three thin uniform rods each of mass M and length L are placed along the three axes of a cartesian coordinate system. The moment of inertia of the system aboutz-axis is
Answer» `(ML^(2))/(3)` `(2ML^2)/(3)` `(ML^(2))/(6)` `ML^(2)` Solution :The moment of inertia of a thin ROD of mass M and LENGTH L about an axis passing through one END of the rod and perpendicular to the length of the rod is `(1)/(3) ML^(2)` . Moment of inertia of the rod about z-axis is zero . Therefore , moment of inertia of the system about the z-axis = `(1)/(3) ML^(2) + (1)/(3) ML^(2) + 0 = (2)/(3) ML^(2)`