A rough ramp is inclined to the horizontal at an angle α\alphaα, where tanα=34\displaystyle \tan \alpha = \frac{3}{4}tanα=43. A box of mass M M\,M kg is placed on the ramp and released from rest. The coefficient of friction between the box and the ramp is 12\displaystyle \frac{1}{2}21.
Find the acceleration of the box as it slides down the ramp.
A different box with mass 3M 3M\,3M kg is placed on the same ramp. Explain how the acceleration of this box would compare to your answer in part (a).
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.