Two particles A A\,A and B B\,B have mass of 5m and km km\,km respectively, where k<5k < 5k<5. The particles are connected by a light inextensible string which passes over a smooth, fixed pulley. The string is released from rest with the string taut and the hanging parts of the string vertical. In the subsequent motion A A\,A moves downwards with acceleration of magnitude 34g\displaystyle \frac{3}{4}g43g.
Explain why the acceleration of B B\,B also has magnitude 34g\displaystyle \frac{3}{4}g43g
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.