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ABC is a traiangular plate of uniform th...

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

A

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

B

`I_(CA)` is maximum

C

`I_(AB) gt I_(BC)`

D

`I_(BC) gt I_(AC)`

Text Solution

Verified by Experts

The correct Answer is:
D
In the given triangular plate, BC is the shortest side.
The M.I. of the triangular plate is maximum about BC as the axis, because the particles of the plate are distributed at maximum distance from BC.
From the figure,we find that,
`I_(BC) gt I_(AB) gt I_(AC) or I_(BC) gt I_(AC)`
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