Q. A square plate has a moment of inertia $I_{0}$ about an axis lying in its plane, passing through its centre and making an angle $\theta$ with one of the sides. Which graph represents the variation of $I$ with $\theta$ ?
System of Particles and Rotational Motion
Solution:
Using perpendicular axis theorem
$I_{z}=I_{x}+I_{y}$
$I=2I'$
$I'=\frac{1}{2}=$ Constant
