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: $T\cos\theta = 0.2g$” …