Question 6
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2
A particle A A\,A of mass 3 kg lies at rest on a smooth horizontal table.
A A\,A is attached to one end of a light inextensible string. The string passes over a smooth pulley fixed at the edge of the table, and a particle B B\,B of mass 5 kg hangs freely at the other end of the string.
The string between A A\,A and the pulley is horizontal, and the string between the pulley and B B\,B is vertical.
The system is released from rest with the string taut, as shown in the diagram below.
a.[3]
Find the acceleration of the system.
b.[2]
Find the tension in the string.
3.3 R: Forces and Newton's laws Questions
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.