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  4. 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 is then, <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/f3ea0bd9600e5f4ae8b14d66c3fc6044-.png /> the centre of mass of the plate is now in the following quadrant of x-y plane,

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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 is then,
image
the centre of mass of the plate is now in the following quadrant of $ x-y$ plane,

System of Particles and Rotational Motion

Solution:

As piece is removed from quadrant $ I$, therefore the centre of mass of the square plate is shifted to opposite of quadrant $I$ i.e. quadrant $III$.