For the adjoining diagram, the correct relation between I1,I2 and I3 is ( I - moment of inertia)

Question

For the adjoining diagram, the correct relation between I1,I2 and I3 is ( I - moment of inertia) (A) I1 > I2 (B) I2 > I1 (C) I3 > I1 (D) I3 > I2

Tardigrade Admin · Accepted Answer

Moment of Inertia of a triangle lamina about a text side =( mh 2/6) where h is height of lamina w.r.t that side height of lamina w.r.t BC =4 height of lamina wr.t AB =3 So IB C > IA B I 3 > I 1

Q. For the adjoining diagram, the correct relation between $I_{1}, I_{2}$ and $I_{3}$ is ( $I$ - moment of inertia)

$I_{1} > I_{2}$

$I_{2} > I_{1}$

$I_{3} > I_{1}$

$I_{3} > I_{2}$

Moment of Inertia of a triangle lamina about a
$side = \frac{m h ^{2}}{6}$
where $h$ is height of lamina w.r.t that side
height of lamina w.r.t $BC = 4$
height of lamina wr.t $A B = 3$
So $I_{BC} > I_{A B}$
$I_{3} > I_{1}$

Q. For the adjoining diagram, the correct relation between I1​,I2​ and I3​ is ( I - moment of inertia)

I1​>I2​

I2​>I1​

I3​>I1​

I3​>I2​