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).
107 exam-style questions on Edexcel A Level Maths Forces and Friction, covering 5.1 Resolving Forces, 5.2 Inclined Planes, and 5.3 Friction. Each one has a worked solution and a mark scheme showing where the marks go.