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Figure shows a thin metallic triangular ...

Figure shows a thin metallic triangular sheet `ABC`. The mass of the sheet is `M`. The moment of inertia of the sheet about side `AC` is

A

`(Ml^(2))/18`

B

`(Ml^(2))/12`

C

`(Ml^(2))/6`

D

`(Ml^(2))/4`

Text Solution

Verified by Experts

The correct Answer is:
B
`h=cos45^@=l/sqrt(2)`
`I_(AC)=1/6 Mh^(2)=1/6M(l/sqrt(2))^(2)=(Ml^(2))/2`
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