(i)[3]
Calculate the speed of $B$ if the tension in the string is $5\,\text{N}$.
(ii)[4]
Find the greatest possible tension in the string for the motion, together with the angular speed of $B$ that goes with it.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A small ball $B$, with mass $0.4\,\text{kg}$, travels in a horizontal circle of radius $0.6\,\text{m}$ with centre $O$ on a smooth horizontal surface. One end of a light inextensible string is attached to $B$, and the other end is connected to a fixed point $0.45\,\text{m}$ vertically above $O$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Determines $\theta = \tan^{-1}(0.45/0.6)=36.9^\circ$ or an equivalent value” …
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