Question

Let $x$, $y$ and $z$ are the axes of rotation of the body, and satisfies all necessary condition for application of Perpendicular axis theorem i.e. $I_z=I_x+I_y$, then point of intersection of $x$, $y$ and $z$ axes

• A. must coincide with $\text{COM}$ of the body.
• B. must lie on the body.
• C. may or may not be on the body but must lie on same plane.
• D. None of these

Answer 1

The correct option is C may or may not be on the body but must lie on same plane.

Point of intersection of the three axes $x$, $y$ and $z$, need not be $\text{COM}$, it can be any point in the plane of body which lies on the body or even outside it.