plumiMotion in a circle: OCR MEI A‑Level Further Maths questions
Every OCR MEI 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 16 questions on Motion in a circle, as a list
- June 2025, Mechanics Major, Q10 (9 marks): A θ 1.5m ω rad s–1 B R One end of a light inextensible string is attached to a fixed point A. The other end of the string is attached to a fixed point B, vertic
- June 2025, Mechanics Major, Q14 (11 marks): 1 2 gr m s - B θ O r m A smooth thin wire is formed into a circle of radius r m and centre O and is fixed in a vertical plane. A small bead B of mass m kg is th
- June 2024, Mechanics Major, Q11 (16 marks): A particle P of mass 1 kg is fixed to one end of a light inextensible string of length 0.5 m. The other end of the string is attached to a fixed point O, which
- June 2024, Mechanics Major, Q13 (10 marks): V hm a P 2.8 rad s–1 Q A conical shell, of semi-vertical angle a, is fixed with its axis vertical and its vertex V upwards. A light inextensible string passes t
- June 2023, Mechanics Major, Q3 (5 marks): O i 0.75 m 1 - rad s ~ P The diagram shows a particle P, of mass 0.2 kg, which is attached by a light inextensible string of length 0.75 m to a fixed point O. 1
- June 2023, Mechanics Major, Q10 (16 marks): A u 30° O r i B A hollow sphere has centre O and internal radius r. A bowl is formed by removing part of the sphere. The bowl is fixed to a horizontal floor, wi
- June 2022, Mechanics Major, Q4 (7 marks): O i 0.5m P 5 rads–1 The diagram shows a particle P, of mass 0.1 kg, which is attached by a light inextensible string of length 0.5 m to a fixed point O. P moves
- June 2022, Mechanics Major, Q10 (10 marks): A hm O P i r m B C A small toy car runs along a track in a vertical plane. The track consists of three sections: a curved section AB, a horizontal section BC wh
- June 2022, AS Mechanics B, Q1 (9 marks): A small smooth ring of mass 0.5 kg is travelling round a smooth circular wire, with centre O and radius 0.8 m. The circle of wire is in a horizontal plane. - ,
- November 2021, Mechanics Major, Q10 (13 marks): O C i a P A B b A rigid wire ABC is fixed in a vertical plane. The section AB of the wire, of length b, is straight and horizontal. The section BC of the wire i
- November 2021, AS Mechanics B, Q5 (12 marks): On a fairground ride, the centre of a horizontal circular frame is attached to the top of a vertical pole, OP. When the frame and pole rotate, OP remains vertic
- November 2020, Mechanics Major, Q10 (14 marks): O θ P a A Fig. 10 Fig. 10 shows a small bead P of mass m which is threaded on a smooth thin wire. The wire is in the form of a circle of radius a and centre O.
- November 2020, Mechanics Major, Q12 (12 marks): r O ~ P l a A Fig. 12 Fig. 12 shows a hemispherical bowl. The rim of this bowl is a circle with centre O and radius r. The bowl is fixed with its rim horizontal
- June 2019, Mechanics Major, Q9 (12 marks): O a l P Fig. 9 A particle P of mass m is joined to a fixed point O by a light inextensible string of length l. P is released from rest with the string taut and
- June 2019, Mechanics Major, Q12 (16 marks): A i r P ~ B Fig. 12 The ends of a light inextensible string are fixed to two points A and B in the same vertical line, with A above B. The string passes through
- June 2019, AS Mechanics B, Q6 (14 marks): A smooth solid hemisphere of radius a is fixed with its plane face in contact with a horizontal surface. The highest point on the hemisphere is H, and the centr
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