A rough plane is inclined to the horizontal at an angle α\alphaα. A block of mass m m\,m kg is placed on the plane and remains in equilibrium, on the point of sliding down the plane.
The coefficient of friction between the block and the plane is 0.15.
Find the value of α\alphaα.
The block is now projected with speed 0.4 m s−1^{-1}−1 down a line of greatest slope of the plane. Describe the subsequent motion of the block, 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.