A circular hole of radius a 2 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:

Question

A circular hole of radius a 2 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:, 2 3 a, 5 6 a, 1 6 a, 10 11 a

MARKS App · Accepted Answer

Let σ be the uniform mass density of disc then x COM = σ π a 2 a - σ π a 2 4 × 3 a 2 σ π a 2 - σ π a 2 4 = a - 3 a 8 1 - 1 4 = 5 a 6

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