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 (figure). the COM of the plate is now in the following quadrant of x−y 𝑝𝑙𝑎𝑛𝑒,
A
III
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B
II
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C
IV
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D
I
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Solution
The correct option is AIII The total system consists of a small piece and the remaining square plate. Before, the centre of mass of the plate was at the origin. But if the mass is removed and glued to the centre, mass decreases from I quadrant that means centre of mass 𝑠𝑡 will also move in the opposite direction and will shift to the IIIrd quadrant.