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The ABC is a triangular plate of uniform...

The ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. `I_(AB) , I_(BC)` and `l_(CA)` are the moments of inertia of the plate about AB, BC and CA respectively. Which one of the following relation is correct?

A

`I_(AB)+I_(BC)=I_(CA)`

B

`I_(CA)` is maximum

C

`I_(AB)gtI_(BC)`

D

`I_(BC)gtI_(AB)`

Text Solution

Verified by Experts

The correct Answer is:
D
The intersection of medians is the centre of mass of the triangle. Since the distances of centre of mass from the sides is related as `x_(BC)gt x_(AB) gt x_(AC)`·

Therefore `I_(BC)gtI_(AB)gtI_(AC)` or `I_(BC)gtI_(AB)`
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