Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform solid cone has weight $5\,\text{N}$ and a base radius of $0.1\,\text{m}$. $AB$ is a diameter of the cone’s base. The cone is maintained in equilibrium, with $A$ touching a rough horizontal surface and $AB$ vertical, by a force applied at $B$. This force has magnitude $3\,\text{N}$ and is parallel to the axis of the cone (see diagram).
(main)[3]
Calculate the cone’s height.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies conservation of momentum to give position at $\frac{h}{4}$” …