plumiHorizontal circles: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 5.1 Horizontal circles, 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 14 questions on Horizontal circles, as a list
- June 2025, Mechanics, Q5 (7 marks): One end of a light inextensible string of length 5 m is attached to a fixed point A. The other end is attached to a particle P of mass m kg which lies on a smoo
- June 2025, AS Mechanics, Q5 (9 marks): One end of a light inextensible string of length d m is attached to a particle B of mass m kg. The other end of the string is attached to a fixed point O on a s
- June 2024, Mechanics, Q4 (15 marks): A particle, P, of mass 6 kg is attached to one end of a light inextensible rod of length 2.4 m. The other end of the rod is smoothly hinged at a fixed point O a
- June 2024, AS Mechanics, Q2 (8 marks): A particle P of mass 0.4 kg is attached to one end of a light inextensible string of length 1.8 m. The other end of the string is attached to a fixed point, O,
- June 2023, Mechanics, Q7 (7 marks): Two particles A and B are connected by a light inextensible string of length 1.26 m. Particle A has a mass of 1.25 kg and moves on a smooth horizontal table in
- June 2023, AS Mechanics, Q7 (10 marks): Two identical light, inextensible strings S1 and S2 are each of length 5 m. Two identical particles P and Q are each of mass 1.5 kg. One end of S1 is attached t
- June 2022, AS Mechanics, Q5 (4 marks): One end of a light inextensible string of length 3.5 m is attached to a fixed point O on a smooth horizontal plane. The other end of the string is attached to a
- November 2021, Mechanics, Q4 (8 marks): A hollow cone is fixed with its axis vertical and its vertex downwards. A small sphere P of mass m kg is moving in a horizontal circle on the inner surface of t
- November 2021, AS Mechanics, Q1 (7 marks): One end of a light inextensible string of length 2.8 m is attached to a fixed point O on a smooth horizontal table. The other end of the string is attached to a
- November 2020, Mechanics, Q8 (9 marks): One end of a light elastic string of natural length l m and modulus of elasticity m N is attached to a particle A of mass m kg. The other end of the string is a
- November 2020, AS Mechanics, Q7 (9 marks): It is required to model the motion of a car of mass m kg travelling at a constant speed v ms 1 7 - around a circular portion of banked track. The track is banke
- June 2019, Mechanics, Q4 (9 marks): A right circular cone C of height 4 m and base radius 3 m has its base fixed to a horizontal plane. One end of a light elastic string of natural length 2 m and
- June 2019, AS Mechanics, Q5 (14 marks): A 1 m ~rads–1 P 0.6 m 1m R B As shown in the diagram, AB is a long thin rod which is fixed vertically with A above B. One end of a light inextensible string of
- June 2018, AS Mechanics, Q6 (10 marks): Two particles A and B are connected by a light inextensible string. Particle A has mass 1.2 kg and moves on a smooth horizontal table in a circular path of radi
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