Question

$ABC$ 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 plated about $AB,BC$ and $CA$ respectively. Which one of the following relation is correct?

• A. $I_{CA}$
• B. $I_{AB}>I_{BC}$
• C. $I_{BC}>I_{AB}$
• D. $I_{AB}+I_{BC}=I_{CA}$

Answer 1

The correct option is B $I_{AB}>I_{BC}$

Mass distribution is mab in $AB>BC>CA.$

Hence, the answer is $I_{AB}>I_{BC}.$