Question 87
Two particles A A\,A of mass 2 kg and B B\,B of mass 3 kg are connected by a light inextensible string. The string passes over a smooth pulley fixed at the top of a rough inclined plane. The plane is inclined at an angle of 40∘ 40^\circ\,40∘ to the horizontal. A A\,A lies at rest on the plane and B B\,B hangs freely from the edge of the plane with the string taut.
Particle A A\,A is released from rest and accelerates up the plane at k m s−2k \text{ m s}^{-2}k m s−2, where k k\,k is a positive constant.
a.[3]
The tension in the string, in terms of kkk
b.[3]
The coefficient of friction between A A\,A and the plane, in terms of kkk
c.[3]
The force exerted on the pulley by the string, in terms of kkk
Applications of Forces Questions
130 exam-style questions on Edexcel A Level Maths Applications of Forces, covering 7.1 Static Particles, 7.2 Modelling with Statics, 7.3 Friction and Static Particles, 7.4 Static Rigid Bodies, 7.5 Dynamics and Inclined Planes, and 7.6 Connected Particles 2. Each one has a worked solution and a mark scheme showing where the marks go.