If the density of material of a square plate and a circular plate shown in is same, the centre of mass of the composite system will be

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Inside the square plate

Inside the circular plate

At the point of contact

Outside the system

answer is A.

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Detailed Solution

Mass of square plate M1 = l2σMass of circular disc M2 = (πl24)σαcm = M1×0+πl2σl4l2σ[1+π4] ⇒ xcm = πl4(π+4)4 = πlπ+4xcm

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