A heavy package of mass m m\,m kg sits on a stationary conveyor belt that is inclined at an angle θ \theta\,θ to the horizontal. The package is on the point of slipping down the belt. The coefficient of friction between the package and the belt surface is 0.35.
Find the value of θ\thetaθ, giving your answer to the nearest degree.
The package is now projected down a line of greatest slope of the conveyor belt with speed 1.2 ms−1^{-1}−1. Describe the motion of the package, 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.