A block of weight 40 N lies on a rough board inclined at an angle of 10∘ 10^\circ\,10∘ to the horizontal. A horizontal force of 20 N acts on the block and the block is in equilibrium on the point of slipping up the board.
Find the coefficient of friction between the block and the board.
The 20 N force is removed. Determine whether or not the block moves.
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.