(i)[4]
Show that the centre of mass of the lamina is located on $OB$.
(ii)[4]
Calculate the distance from $O$ to the centre of mass of the lamina.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform lamina $OABCD$ is made up of a semicircle $BCD$ with centre $O$ and radius $0.6\,\text{m}$, together with an isosceles triangle $OAB$ joined along $OB$ (see diagram). The triangle has area $0.36\,\text{m}^2$ and $AB = AO$.