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ABC is a triangular plate of uniform A t...

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

A

`I_(CA)` is maximum

B

`I_(AB)gtI_(BC)`

C

`I_(BC)gtI_(AB)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Farther the mass from axis, greater will be the moment of inertia.
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Knowledge Check

  • 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
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    D
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  • ABC is a right angled triangular plate of uniform thickness. The sides are such that AB gt BC as shown in figure. I_(1), I_(2), I_(3) are moments of inertia about AB, BC and AC respectively. Then which of the following relations is correct?

    A
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    B
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    D
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  • ABC is a right angled triangular plate of uniform thickness. The sides are such that AB gt BC as shown in figure. I_(1),I_(2) and I_(3) are moments of inertia about AB,BC and AC respectively. Then, which of the following relation is correct ?

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    B
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    C
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    D
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