CAIE M1 2014 November — Question 5

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2014
SessionNovember
TopicNewton's laws and connected particles

5
\includegraphics[max width=\textwidth, alt={}, center]{ffefbc81-402f-4048-8741-23c8bae30d5a-3_250_846_260_648} A small block \(B\) of mass 0.25 kg is attached to the mid-point of a light inextensible string. Particles \(P\) and \(Q\), of masses 0.2 kg and 0.3 kg respectively, are attached to the ends of the string. The string passes over two smooth pulleys fixed at opposite sides of a rough table, with \(B\) resting in limiting equilibrium on the table between the pulleys and particles \(P\) and \(Q\) and block \(B\) are in the same vertical plane (see diagram).
  1. Find the coefficient of friction between \(B\) and the table.
    \(Q\) is now removed so that \(P\) and \(B\) begin to move.
  2. Find the acceleration of \(P\) and the tension in the part \(P B\) of the string.