A circular hole of radius a 2 is cut out of a circular disc of radius a as shown in figure. The centroid of…

A circular hole of radius a2 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:

  1. 23a
  2. 56a
  3. 16a
  4. 1011a

Solution

Let σ be the uniform mass density of disc then

xCOM=σπa2a-σπa24×3a2σπa2-σπa24

=a-3a81-14=5a6

Asked in: JEE Main 2021 (24 Feb Shift 2)

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