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Q.

ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB, IBC, ICA are the moments of inertia of the plated about AB, BC and CA respectively. Which one of the following relation is correct?

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a

$I_{C A}$ is maximum

b

$I_{A B} > I_{B C}$

c

$I_{B C} > I_{A B}$

d

$I_{A B} + I_{B C} = I_{C A}$

answer is B.

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Detailed Solution

Farther the mass from axis, greater will be the moment of inertia

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ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB, IBC, ICA are the moments of inertia of the plated about AB, BC and CA respectively. Which one of the following relation is correct?