(i)[3]
Demonstrate that the distance of the object’s centre of mass from the line $ACB$ is $0.191\,\text{m}$, correct to $3$ significant figures.
(ii)[4]
Determine the angle between $ACB$ and the vertical.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A wire of uniform density is shaped into a figure made up of a semicircular arc whose diameter $AB$ measures $1.2\,\text{m}$, together with a smaller semicircular arc whose diameter $BC$ measures $0.6\,\text{m}$. The endpoint $C$ of the smaller arc is located at the centre of the larger arc (refer to the diagram). Both semicircular parts of the wire lie in one plane.