In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A block A A\,A of mass 3 kg lies on a rough horizontal table. The coefficient of friction between A A\,A and the table is 0.2.
A A\,A is connected by a light inextensible string, which passes over a smooth pulley fixed at the edge of the table, to a particle B B\,B of mass 2 kg hanging freely. The part of the string between A A\,A and the pulley is horizontal.
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.