From a square sheet of uniform density, a portion is removed shown as shaded region in the figur...

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From a square sheet of uniform density, a portion is removed shown as shaded region in the figure. Find the centre of mass of the remaining portion if the side of the square is a.
(1) \( \frac{a}{9} \) to the left of \( O \) on \( x \)-axis
(2) \( \frac{a}{2} \) to the right of \( O \) on \( x \)-axis
(3) At O
(4) \( \frac{a}{2} \) to the left of \( O \) on \( x \)-axis
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