Question 61
Two blocks A A\,A of mass 1 kg and B B\,B of mass 2 kg are connected by a light string. Initially A A\,A is held at rest on a rough plane inclined at angle θ \theta\,θ to the horizontal, where tanθ=34\displaystyle \tan \theta = \frac{3}{4}tanθ=43 The string passes over a smooth fixed pulley, with the string parallel to the line of greatest slope of the plane, as shown in the diagram. The coefficient of friction between A A\,A and the plane is 14\displaystyle \frac{1}{4}41 The blocks are released and A A\,A moved up the plane. The string is modelled as inextensible and the blocks are modelled as particles.
a.[7]
Find the tension in the string.
b.[2]
After B B\,B reaches the ground, A A\,A continues to move up the plane until it comes to rest before it reaches the pulley. Determine whether A A\,A will remain at rest.
c.[2]
Suggest two refinements to the model that would make it more realistic.
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.