In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A block of mass 4 kg lies on a smooth horizontal table. It is connected by a light inextensible string, which passes over a smooth pulley fixed at the edge of the table, to a particle of mass 6 kg hanging freely. The part of the string between the block 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.