Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
One end of a light inextensible string is fastened to a fixed point $A$, while the other end is joined to a particle $P$. Particle $P$ travels at constant angular speed $5\,\text{rad s}^{-1}$ in a horizontal circle with centre $O$ directly beneath $A$. The string is at angle $\theta$ to the vertical (see diagram). The tension in the string is three times the weight of $P$.
(i)[3]
Show that the string length is $1.2\,\text{m}$.
(ii)[4]
Find the speed of $P$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies Newton’s 2nd law: $T\sin\theta = m\omega^2 r$” …