Question 24
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
Two particles AAA, of mass 5 kg, and BBB, of mass 8 kg, are connected by a light inextensible string which passes over a smooth pulley fixed at the top of a rough plane inclined at 25° 25°\,25° to the horizontal.
A A\,A lies on the plane with the string parallel to a line of greatest slope, and B B\,B hangs freely with the string vertical. The coefficient of friction between A A\,A and the plane is 0.4.
The system is released from rest, and A A\,A moves up the plane.
a.[5]
Find the tension in the string.
b.[3]
Find the magnitude of the force exerted on the pulley by 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.