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).
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.