In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2
Two particles A A\,A and BBB, of masses 5 kg and 3 kg respectively, are connected by a light inextensible string.
The string passes over a smooth fixed pulley, and both particles hang freely with the string vertical on both sides of the pulley.
The system is released from rest with the string taut, as shown in the diagram below.
Find the acceleration of the particles.
Find the tension in the string.
Find the magnitude of the force exerted by the string on the pulley.
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.