1.

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?

Answer»

`I_(AB)+I_(BC)=I_(CA)`
`I_(CA)` is maximum
`I_(AB)gtI_(BC)`
`I_(BC)gtI_(AB)`

Solution :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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