Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A cylindrical container is open at the top. Its curved side and circular base are each made from the same thin material of uniform thickness. The container has radius $0.2\,\text{m}$ and height $0.9\,\text{m}$.
((i))[3]
Show that the centre of mass of the container is $0.405\,\text{m}$ measured from the base.
((ii))[3]
The container is set with its base resting on a rough inclined plane. It is in equilibrium on the verge of sliding down the plane and also on the verge of toppling. Find the coefficient of friction between the container and the plane.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme.