plumiCentres of mass by integration: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 6.2 Centres of mass by integration, 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 4 questions on Centres of mass by integration, 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 2022, Mechanics, Q5 (9 marks): In this question you must show detailed reasoning. The region bounded by the x‑axis, the y‑axis, the line x 4 and the curve with equation = 15 y is occupied by
- November 2020, Mechanics, Q5 (9 marks): The cover of a children’s book is modelled as being a uniform lamina L. L occupies the region bounded by the x-axis, the curve y 6 sin x and the lines x 0 and x
- June 2019, Mechanics, Q1 (8 marks): 2 1 The region bounded by the x-axis, the curve y 2 x 15 x 36 x 20 and the lines x = and 1 = - + - x 4 is rotated through 2r radians about the x-axis to form a
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