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: $T\sin\theta = m\omega^2 r$

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