In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
Two particles AAA, of mass 2 kg, and BBB, of mass 3 kg, are connected by a light inextensible string. The string passes over a smooth pulley fixed at the top of a smooth plane inclined at 30° 30°\,30° to the horizontal.
A A\,A lies on the plane with the string parallel to a line of greatest slope, and B B\,B hangs freely with the string taut. The system is released from rest.
Find the acceleration of the system.
Find the tension in the string.
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.