Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The diagram gives the cross-section $OABCDE$ passing through the centre of mass of a uniform prism. The interior angles of the cross-section at $O$, $A$, $C$, $D$ and $E$ are each right angles. $OA = 0.4\,\mathrm{m}$, $AB = 0.5\,\mathrm{m}$ and $BC = CD = 1\,\mathrm{m}$. The prism has weight $120\,\mathrm{N}$. A force of magnitude $F\,\mathrm{N}$ acting along $DE$ keeps the prism in equilibrium while $OA$ lies on a rough horizontal surface.
(i)[3]

Calculate the distance from $OE$ to the prism’s centre of mass.

(ii)[6]

Find the range of possible values of $F$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Approach based on a table of moments

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI