Resolving forces and inclined planes: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 3.03.3 Resolving forces and inclined planes, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 12 questions on Resolving forces and inclined planes, as a list
- June 2025, Paper 3, Q12 (13 marks): Fig. 1 B P T N 30° A rectangular block B of mass 10 kg lies at rest in limiting equilibrium on a rough plane P inclined at 30° to the horizontal. A horizontal f
- June 2024, Paper 3, Q9 (8 marks): North 12 N 17N 20° 50° O Two horizontal forces of magnitudes 17 N and 12 N act at a point O along bearings of 050° and 340° respectively (see diagram). (a) Dete
- June 2024, Paper 3, Q10 (6 marks): X N 5kg 50° 20° m kg A block of mass m kg is on smooth horizontal ground with one end of a light inextensible rope attached to its upper surface. The other end
- June 2024, Paper 3, Q13 (12 marks): B 6ms–1 1.375m θ A C The points A and B are the lower and upper ends, respectively, of a line of greatest slope on a plane inclined at an angle i to the horizon
- June 2023, Paper 3, Q9 (6 marks): B 2N θ A block B of weight 10 N lies at rest in equilibrium on a rough plane inclined at i to the horizontal. A horizontal force of magnitude 2 N, acting above
- June 2023, Paper 3, Q13 (12 marks): B 2kg P 4kg 60° The diagram shows a small block B, of mass 2 kg, and a particle P, of mass 4 kg, which are attached to the ends of a light inextensible string.
- June 2022, Paper 3, Q8 (2 marks): 15° A child attempts to drag a sledge along horizontal ground by means of a rope attached to the sledge. The rope makes an angle of 15° with the horizontal (see
- November 2021, Paper 3, Q10 (6 marks): 15N θ D A block D of weight 50 N lies at rest in equilibrium on a fixed rough horizontal surface. A force of magnitude 15 N is applied to D at an angle i to the
- November 2021, Paper 3, Q14 (11 marks): B 3kg A 2 kg C 30° 4 kg Π 60° One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a seco
- November 2020, Paper 3, Q9 (13 marks): P B 1.5m A i One end of a light inextensible string is attached to a particle A of mass 2 kg. The other end of the string is attached to a second particle B of
- June 2018, Paper 3, Q10 (11 marks): Three forces, of magnitudes 4 N, 6 N and P N, act at a point in the directions shown in the diagram. 6N 4N i 2i PN The forces are in equilibrium. (i) Show that
- June 2018, Paper 3, Q12 (14 marks): One end of a light inextensible string is attached to a particle A of mass m kg. The other end of the string is attached to a second particle B of mass mm kg, w
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