Question

Two thin identical rods are arranged along X-axis and Y-axis with their ends meeting at the origin. If $I_x,I_{y}and{I}_z$ are the moments of inertia of the system about the X, Y and Z axes respectively, then which of the following are correct?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Moment of inertia of a thin rod about the axis passing through one of its end $=\frac{M{L}^2}{3}$

Moment of Inertia of the system

About x - axis,

$I_x=\frac{M{L}^2}{3}$

Moment of inertia of the system

About y - axis,

$I_y=\frac{M{L}^2}{3}$

Moment of inertia of the system

About z - axis, $I_z=I_x+I_y$

$=2\frac{M{L}^2}{3}$