Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
$ABC$ is the cross-section through the centre of mass of a uniform prism that lies with $AB$ on a rough horizontal plane. $AB = 0.4\text{ m}$ and $C$ is $0.9\text{ m}$ above the plane (see diagram). The prism is just about to topple about its edge through $B$.
(i)[3]
Show that angle $BAC$ is $48.4^\circ$, correct to $3$ significant figures.
(ii)[3]
A force of magnitude $18\,\text{N}$ acting in the plane of the cross-section and at right angles to $AC$ is then applied to the prism at $C$. The prism is just about to turn about its edge through $A$. Calculate the weight of the prism.
(iii)[4]
Given also that the prism is just about to slip, calculate the coefficient of friction between the prism and the surface.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Determines $BG=0.3\,\text{m}$” …