Question

There is a flat uniform triangular plate ABC such that $AB=4\text{cm},BC=3\text{cm}$ and $\angle ABC={90}^{\circ }$ as shown in the figure. The moment of inertia of the plate about AB, BC and CA is $I_1,I_2$ and $I_3$ respectively. The incorrect statement is

• A. $I_3<I_2$
• B. $I_2>I_1$
• C. $I_3<I_1$
• D. $I_3>I_2$

Answer 1

The correct option is D $I_3>I_2$

The moment of inertia about smaller side is maximum as effective distance of centre of mass is more.
$\therefore I_2>I_1>I_3$
$\therefore \left(d\right)$

Why this question? "Understanding that COM for uniform bodies exists at their geometric centre" "Moment of inertia about an axis increases as perpendicular distance of COM from axis increases "