From a uniform circular disc of radius \( \mathrm{R} \), a circular...

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From a uniform circular disc of radius \( \mathrm{R} \), a circular disc of radius \( \mathrm{R} / 6 \) and having centre at a distance \( \mathrm{R} / 2 \) from the centre of the disc is removed. Determine the centre of mass of the remaining portion of the disc.
\( \mathrm{P} \)
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