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.
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.