(i)[4]
Find, in terms of $r$, the distance of the centre of mass of the prism from the centre of the cylinder.
(ii)[4]
Find the coefficient of friction between the prism and the plane.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
Fig. 1 shows the cross-section of a solid cylinder from which a cylindrical hole has been drilled to form a uniform prism. The cylinder has radius $5r$ and the hole has radius $r$. The centre of the hole is $2r$ from the centre of the cylinder.