Q.
A circular hole of radius (2a) is cut out of a circular disc of radius 'a' as shown in figure. The centroid of the remaining circular portion with respect to point 'O' will be :
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JEE MainJEE Main 2021System of Particles and Rotational Motion
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Solution:
Let σ be the uniform mass density of disc then xCOM=σπa2−4σπa2(σπa2)a−σπ(4a2)×23a =1−41a−83a=65a