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.
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.