(i)[4]
With $v = 0.5$, Calculate the magnitude of the force that the surface exerts on $P$.
(ii)[3]
Find the greatest possible value of $v$ while $P$ remains in contact with the surface.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A light inextensible string of length $0.4\text{ m}$ has one end fixed at point $A$, which lies above a smooth horizontal surface. A particle $P$ of mass $0.6\text{ kg}$ is attached to the free end of the string. With the string taut and inclined at an angle of $60^\circ$ to the horizontal (see diagram), $P$ moves round the surface in a circle with constant speed $v\text{ m s}^{-1}$.