Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The bow is formed from a uniform curved section $AB$ of mass $1.4\,\text{kg}$, together with a uniform taut string of mass $m\,\text{kg}$ joining $A$ to $B$. The curved section $AB$ is an arc of a circle with centre $O$ and radius $0.8\,\text{m}$. The angle $AOB$ is $\frac{2\pi}{3}$ radians (see diagram). The centre of mass of the bow, including the string, is $0.65\,\text{m}$ from $O$.
(main)[6]

Calculate the value of $m$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Determines $OG = 0.8\sin(\pi/3)/(\pi/3)$

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