A slab of stone of mass S S\,S kg is positioned on a rough metal sheet inclined at an angle ϕ \phi\,ϕ to the horizontal. The stone is in limiting equilibrium, just about to slide down the sheet. The coefficient of friction between the stone and the sheet is 0.45.
Find the value of ϕ\phiϕ.
The stone slab is now projected down the sheet with speed 0.2 ms−1^{-1}−1. Describe the motion of the slab, giving a reason for your answer.
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.