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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 $(figure) .$ The moment of inertia about the $z -$ 𝑎𝑥𝑖𝑠 is then

A

increased

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B

decreased

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C

changed in unpredicted manner

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D

the same

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Solution

The correct option is B decreased
Removing and gluing the small piece at the centre will decrease the moment of inertia about $z - a x i s$ since that part of mass will become closer to the axis.

Final Answer: Option (b)

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Q. 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

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