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.
Practise Edexcel A Level Maths Forces and Friction with exam-style questions for A Level Maths. 29 questions covering Resolving Forces, Inclined Planes, and Friction, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.