Moment of inertia of a uniform circular disc about a diameter is $I$. Its moment of inertia about an

Question

Moment of inertia of a uniform circular disc about a diameter is $I$. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be\

Professor PC Thomas Classes · Answer

(c) : Moment of inertia of uniform circular disc abouit diameter $=I$\ According to theorem of perpendicular axes.\ Moment of inertia of disc about axis $$ =2 I=\frac{1}{2} m r^{2} $$ Using theorem of parallel axes,\ Moment of inertia of disc about the given axis $$ =2 I+m r^{2}=2 I+4 I=6 I $$