plumiVertical circles: OCR MEI A‑Level Further Maths questions
OCR MEI 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 8 questions on Vertical circles, as a list
- 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 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, 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
- 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 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.
- 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, 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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