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Work-Energy Theorem

ABC is a righ...

Question

$A B C$ is a right angled triangular plate of uniform thickness. The sides are such that $A B > B C$ as shown in the figure above. $I_{1}, I_{2}, I_{3}$ are moments of inertia about $A B, B C$ and $A C$ respectively. Then which of the following relations is correct ?

I_{1} = I_{2} = I_{3}

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I_{2} > I_{1} > I_{3}

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I_{3} > I_{2} > I_{1}

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I_{3} > I_{1} > I_{2}

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Solution

The correct option is B $I_{2} > I_{1} > I_{3}$
If distance of mass distribution from axis is large then, MOI will also become larger.
$∴$ by observing the differential masses and their distance from the axis,hence we can say that
$I_{2} > I_{1} > I_{3}$

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