CAIE M1 2012 November — Question 2

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2012
SessionNovember
TopicPulley systems

2 Particles \(A\) and \(B\) of masses \(m \mathrm {~kg}\) and \(( 1 - m ) \mathrm { kg }\) respectively are attached to the ends of a light inextensible string which passes over a fixed smooth pulley. The system is released from rest with the straight parts of the string vertical. \(A\) moves vertically downwards and 0.3 seconds later it has speed \(0.6 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Find
  1. the acceleration of \(A\),
  2. the value of \(m\) and the tension in the string.