CAIE M2 2016 November — Question 5

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2016
SessionNovember
TopicCircular Motion 1

5 A small ball \(B\) of mass 0.4 kg moves in a horizontal circle with centre \(O\) and radius 0.6 m on a smooth horizontal surface. One end of a light inextensible string is attached to \(B\); the other end of the string is attached to a fixed point 0.45 m vertically above \(O\).
  1. Given that the tension in the string is 5 N , calculate the speed of \(B\).
  2. Find the greatest possible tension in the string for the motion, and the corresponding angular speed of \(B\).