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Moment of Inertia of a Disc

A uniform squ...

Question

A uniform square plate has a small piece Q of an irregular shape removed and glued to the centre of the plate leaving a hole behind . The moment of inertia about the z-axis, then

A

increased

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B

decreased

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C

same

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D

changed in unpredicted manner

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Solution

The correct option is B decreased
In the given diagram, when the small piece Q removed and glued to the centre of the plate, the mass comes closer to the z-axis, hence moment of interia decreases.

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