There is a flat uniform triangular plate ABC such that AB

Home » Mechanics » System of Particles and Rotational Motion » Question

There is a flat uniform triangular plate ABC such that AB = 4 cm, BC = 3 cm and angle ABC = 90º. The moment of inertia of the plate about AB, BC and CA as axis is respectively I₁, I₂ and I₃. Which one of the following is true?

1. I₃ > I₂
2. I₂ > I₁
3. I₃ > I₁
4. I₁ > I₂

Correct Option: B

Moment of Inertia depend upon mass and distribution of masses as I = Σmr².
Further, as the distance of masses is more , more is the moment of Inertia.
If we choose BC as axis. Distance is maximum. Hence, Moment of Inertia is maximum.
∴ I₂ > I₁, I₂ > I₃