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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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By Expert Faculty of Sri Chaitanya
a
Inside the square plate
b
Inside the circular plate
c
At the point of contact
d
Outside the system

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detailed solution

Correct option is A

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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