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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.