A uniform disc of radius R is put over another uniform disc of radius 2R of same thickness and density. The peripheries of the two discs touch each other. FInd the position of their centre of mass.
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Solution
Let density be σ and thickness be d
Mass of smaller disk (m), m=m=σ(πR2d) from center c
Mass of bigger disk (M), M=M=σ(π(2R2)d) from center O.