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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 (Fig. 7.3). The moment of inertia about the z-axis is then (a) increased (b) decreased (c) the same

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 (Fig. 7.3). The moment of inertia about the z-axis is then


(a) increased
(b) decreased
(c) the same
(d) changed in an unpredictable manner.

Answers (1)

The answer is option (b).

The formula for the Moment of Inertia is given by

I=\sum m_{i}r_{i}^{2}

When the piece Q is removed and glued to the centre of the plate, the mass increases around the axis of rotation. However, we can see from the formula that the greater the distance from the axis of rotation higher the moment of Inertia.

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infoexpert23

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