Q. $ABC$ is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. $I_{AB},\ I_{BC},\ I_{CA}$ are the moments of inertia of the plate about $AB,\ BC,\ CA$ respectively. Which one of the following relations is correct
A) $I_{CA}$ is maximum
B) $I_{AB} > I_{BC}$
C) $I_{BC} > I_{AB}$
D) $I_{AB} + I_{BC} = I_{CA}$
Explanation
(c) Distribution of mass about $BC$ axis is more than that about $AB$ axis, $i.e.$ radius of gyration about $BC$ axis is more than that about $AB$ axis
$i.e.\ K_{BC} > K_{AB}\ \therefore I_{BC} > I_{AB} > I_{CA}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.