(i)[4]
Show that the centre of mass of the prism is $0.488\,\text{m}$ from $AB$.
(ii)[3]
Given that the prism weighs $100\,\text{N}$, determine the greatest and least possible values of $T$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
The uniform solid prism has cross-section $ABCDEF$ passing through its centre of mass. $ABCF$ is a rectangle with $AB = CF = 1.6\,\text{m}$ and $BC = AF = 0.4\,\text{m}$. $CDE$ is a triangle with $CD = 1.8\,\text{m}$, $CE = 0.4\,\text{m}$, and angle $DCE = 90^\circ$. The prism rests on a rough horizontal surface. A horizontal force of magnitude $T\,\text{N}$ is applied at $B$ in the direction $CB$ (see diagram). The prism is in equilibrium.