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 in figure. Themoment of inertia about the z-axis is then,

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a

increased

b

decreased

c

the same

d

changed in unpredicted manner

answer is B.

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Detailed Solution

In the given diagrams, 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 inertia decreases.
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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 in figure. Themoment of inertia about the z-axis is then,