CAIE M1 2009 June — Question 6

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2009
SessionJune
TopicPulley systems

6
\includegraphics[max width=\textwidth, alt={}, center]{af19f1e0-4cdf-407b-a0d6-cb0272066c30-4_712_526_264_813} Particles \(A\) and \(B\) are attached to the ends of a light inextensible string which passes over a smooth pulley. The system is held at rest with the string taut and its straight parts vertical. Both particles are at a height of 0.36 m above the floor (see diagram). The system is released and \(A\) begins to fall, reaching the floor after 0.6 s .
  1. Find the acceleration of \(A\) as it falls. The mass of \(A\) is 0.45 kg . Find
  2. the tension in the string while \(A\) is falling,
  3. the mass of \(B\),
  4. the maximum height above the floor reached by \(B\).