A rough wooden ramp is inclined to the horizontal at an angle α\alphaα. A crate of mass M M\,M kg is placed on the ramp and is found to be in limiting equilibrium, on the point of sliding down the slope. The coefficient of friction between the crate and the ramp is 0.22.
Find the value of α\alphaα, giving your answer to one decimal place.
The crate is now given a slight push so that it starts moving down the ramp with an initial speed of 0.5 ms−1^{-1}−1. Describe the subsequent motion of the crate, providing 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.