5. Two metal weights \(A\) and \(B\), of masses 2.4 kg and 1.8 kg respectively, are attached to the ends of a light inextensible string which passes over a smooth fixed pulley so that the string hangs vertically on each side. The system is released from rest with the string taut.

1. Calculate the acceleration of each weight and the tension in the string.
   \(A\) is now replaced by a different weight of mass \(m \mathrm {~kg}\), where \(m < 1 \cdot 8\), and the system is again released from rest. The magnitude of the acceleration has half of its previous value.
2. Calculate the value of \(m\).
   (6 marks) \section*{MECHANICS 1 (A)TEST PAPER 1 Page 2}