First slide

Moment of intertia

Question

A square lamina is as shown in figure. The moment of inertia of the frame about the three axes as shown in figure are I₁,I₂ and I₃ , respectively. Select the correct alternative

Moderate

A

$I_{2} = I_{3} > I_{1}$
B

$I_{1} > I_{2} > I_{3}$
C

$I_{2} = I_{3} < I_{1}$
D

$I_{1} < I_{2} < I_{3}$

Solution

For square lamina, I₂ = I₃. These values will be less than I₁ because distribution of masses are nearer to the axes corresponding to I₂ and I₃.

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