(i)[3]
With the string tension equal to $5\,\text{N}$, calculate the speed of $B$.
(ii)[4]
Find the greatest possible tension in the string for the motion, together with the corresponding angular speed of $B$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A small ball $B$ of mass $0.4\,\text{kg}$ travels in a horizontal circle of radius $0.6\,\text{m}$ about centre $O$ on a smooth horizontal surface. One end of a light inextensible string is fixed to $B$; the other end is fastened to a point $0.45\,\text{m}$ vertically above $O$.