Mathematics 9709/41 — October/November 2016

Two particles $P$ and $Q$, of masses $0.6\text{ kg}$ and $0.4\text{ kg}$ respectively, are connected by a light inextensible string. The string passes over a small smooth light pulley fixed at the edge of a smooth horizontal table. Initially $P$ is held at rest on the table and $Q$ hangs vertically (see diagram). $P$ is then released. Find the tension in the string and the acceleration of $Q$.