plumiCentres of mass of particles and laminas: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 6.1 Centres of mass of particles and laminas, 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 5 questions on Centres of mass of particles and laminas, as a list
- June 2025, Mechanics, Q8 (13 marks): In this question you must show detailed reasoning. The units of the coordinate system in this question are metres. A designer is constructing a sign OABC which
- June 2024, Mechanics, Q8 (8 marks): A shape, S, is formed by attaching a particle of mass 2m kg to the vertex of a uniform solid cone of mass 8m kg. The height of the cone is h m and the radius of
- June 2023, Mechanics, Q4 (9 marks): ABCD is a uniform lamina in the shape of a kite with BA BC 0 37 . m , DA DC 0 91 . m = = = = and AC 0 7 . m (see diagram). The centre of mass of ABCD is G. = A
- November 2021, Mechanics, Q8 (13 marks): A rectangular lamina of mass M has vertices at the origin O (0, 0), A (24a, 0), B (24a, 6a) and C (0, 6a), where a is a positive constant. A small object P of m
- November 2020, Mechanics, Q7 (12 marks): Fig. 7.1 shows a uniform lamina in the shape of a sector of a circle of radius r and angle 2i where i is in radians. The sector consists of a triangle OAB and a
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