Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

One end of a light inextensible string of length $0.5\,\text{m}$ is fastened to a fixed point $A$. A particle $P$ with mass $0.2\,\text{kg}$ is joined to the other end of the string. $P$ travels at constant speed in a horizontal circle with centre $O$, and $O$ is $0.4\,\text{m}$ vertically below $A$.
(i)[2]

Show that the tension in the string has magnitude $2.5\,\text{N}$.

(ii)[3]

Find the speed of $P$ in this motion.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical balance gives: $T\cos\theta = 0.2g$

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