Ncert Exercises & Solutions

A uniform square plate has a small piece \(Q\) of an irregular shape removed and glued to the center of the plate leaving a hole behind in the figure. The moment of inertia about the \(\mathrm{z}\)-axis is then

1.	increased
2.	decreased
3.	the same
4.	changed in unpredicted manner

(b) Hint: The moment of inertia depends on mass distribution.

In the given diagrams, when the small piece Q removed and glued to the center of the plate, the mass comes closer to the z-axis, hence, the moment of inertia decreases.

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