Centre of mass — UPSC Physics Optional CSE 2016 Paper I

(i) The distance between the centres of the carbon and oxygen atoms in the carbon monoxide (CO) gas molecule is 1.130\times10^{-10}\ \mathrm{m}. Locate the centre of mass of the molecule relative to the carbon atom.

(ii) Find the centre of mass of a homogeneous semicircular plate of radius a.