CAIE M2 2012 November — Question 5

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2012
SessionNovember
TopicCircular Motion 1

5 A small ball \(B\) of mass 0.2 kg is attached to fixed points \(P\) and \(Q\) by two light inextensible strings of equal length. \(P\) is vertically above \(Q\), the strings are taut and each is inclined at \(60 ^ { \circ }\) to the vertical. \(B\) moves with constant speed in a horizontal circle of radius 0.6 m .
  1. Given that the tension in the string \(P B\) is 7 N , calculate
    (a) the tension in string \(Q B\),
    (b) the speed of \(B\).
  2. Given instead that \(B\) is moving with angular speed \(7 \mathrm { rad } \mathrm { s } ^ { - 1 }\), calculate the tension in the string \(Q B\).