plumiVertical circles: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 5.2 Vertical 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 15 questions on Vertical circles, as a list
- June 2025, Mechanics, Q6 (9 marks): One end of a light inextensible string of length r m is attached to a fixed point O. The other end is attached to a particle P of mass m kg. Particle P hangs in
- June 2025, AS Mechanics, Q7 (8 marks): In this question you must show detailed reasoning. A particle P of mass m kg is attached to one end of a light rod of length 12.6 m. The other end of the rod is
- 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, Q7 (11 marks): A particle P of mass 3.5 kg is attached to one end of a rod of length 5.4 m. The other end of the rod is hinged at a fixed point O and P hangs in equilibrium di
- June 2023, Mechanics, Q1 (8 marks): One end of a light inextensible string of length 0.8 m is attached to a particle P of mass m kg. The other end of the string is attached to a fixed point O. Ini
- June 2023, AS Mechanics, Q2 (5 marks): O 3.2m P 60° u ms−1 P A small body P of mass 3 kg is at rest at the lowest point of the inside of a smooth hemispherical shell of radius 3.2 m and centre O. - .
- June 2022, Mechanics, Q7 (15 marks): The training rig for a parachutist comprises a fixed platform and a fixed hook, H. The platform is 3.5 m above horizontal ground level. The hook, which is not d
- June 2022, AS Mechanics, Q3 (5 marks): A smooth wire is shaped into a circle of radius 4.2 m which is fixed in a vertical plane with its centre at a point O. A small bead B is threaded onto the wire.
- November 2021, Mechanics, Q6 (10 marks): A particle P of mass 4 kg is attached to one end of a light inextensible string of length 0.8 m. The other end of the string is attached to a fixed point O. P i
- November 2021, AS Mechanics, Q6 (12 marks): A smooth hemispherical shell of radius r m is held with its circular rim horizontal and uppermost. The centre of the rim is at the point O and the point on the
- November 2020, Mechanics, Q3 (7 marks): One end of a light inextensible string of length 0.75 m is attached to a particle A of mass 2.8 kg. The other end of the string is attached to a fixed point O.
- November 2020, AS Mechanics, Q3 (6 marks): A particle P of mass 5.6 kg is attached to one end of a light rod of length 2.1 m. The other end of the rod is freely hinged to a fixed point O. – . The particl
- June 2019, Mechanics, Q7 (12 marks): P r a F O The flat surface of a smooth solid hemisphere of radius r is fixed to a horizontal plane on a planet where the acceleration due to gravity is denoted
- June 2019, AS Mechanics, Q1 (6 marks): O 2.5m B .8 4ms 1 - A smooth wire is shaped into a circle of radius 2.5 m which is fixed in a vertical plane with its centre at a point O. A small bead B is thr
- June 2018, AS Mechanics, Q1 (6 marks): O 15° 3.2m P 1.2ms–1 A particle P of mass m kg is attached to one end of a light inextensible string of length 3.2 m. The other end of the string is attached to
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