A disc of radius R is cut out from a larger uniform disc of radius 2R in such a way that the edge of the hole touches the edge of the disc. Locate the centre of mass of remaining part.
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At R/3 from the centre of the original disc away from the centre of the hole.
Sol. Let areal density of disc is ρ . and COM of shaded part is X.
X CM = 
= 0
X CM = O = 
x = – 
–ve sign means x is toward left of centre.
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