Mathematics 9709/42 — February/March 2018

Two particles $A$ and $B$, of masses $0.8\text{ kg}$ and $0.2\text{ kg}$ respectively, are connected by a light inextensible string that passes over a fixed smooth pulley. The particles hang vertically. The system is released from rest. Show that the acceleration of $A$ has magnitude $6\text{ m s}^{-2}$ and find the tension in the string.