Two particles E E\,E and F F\,F have masses 9m and km km\,km respectively, where k<9k < 9k<9. They are connected by a light inextensible string which passes over a smooth, fixed pulley. The string is taut, and its two hanging sections are vertical. The system is released from rest, and in the subsequent motion E E\,E moves downwards with acceleration of magnitude 56g\displaystyle \frac{5}{6}g65g.
Explain why the acceleration of F F\,F also has magnitude 56g\displaystyle \frac{5}{6}g65g.
Find, in terms of m m\,m and ggg, the tension in the string.
Find the value of kkk.
30 exam-style questions on Edexcel AS Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.