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

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. 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, (A) I (B) II (C) III (D) IV

Tardigrade Admin · Accepted Answer

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.

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,

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

$I$

$II$

$III$

$I V$

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 $III$ .

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, the centre of mass of the plate is now in the following quadrant of x−y plane,

I

II

III

IV