In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A package of mass 2 kg is on a rough horizontal floor. A force of magnitude 6 N acts on the package at 30° 30°\,30° above the horizontal. The coefficient of friction between the package and the floor is 0.25.
Find the magnitude of the normal contact force exerted by the floor on the package.
Find the greatest possible magnitude of the frictional force.
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.