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A square shaped hole of side l=a2 is carved out at a distance d=a2 from the centre ‘O’ of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion from O is −aX, value of X (to the nearest integer) is ______

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answer is 0023.00.

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Detailed Solution

CM of remaining portion shifts towards -x axisMremainingx=Mremovedd⇒Mtotal−Mremovedx=Mremovedd⇒x=Mremoved dMtotal−Mremoved=σl2dσπa2−σl2 Mremoved=σl2,Mtotal=σπa2⇒x=l2dπa2−l2=a8π−2=a23.12

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