plumiMotion in a circle: OCR A‑Level Further Maths questions
Every OCR A-Level Further Maths exam question on FM.5 Motion in a circle, 2018–2025, with its mark scheme and examiner’s report.
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All 27 questions on Motion in a circle, 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, 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, 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 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, 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, 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 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, 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.
- 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, 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, 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 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, 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, 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
- 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, 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 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, 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
- 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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