plumiCentres of mass by integration: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on ME.2 Centres of mass by integration, 2019–2025, 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 by integration, as a list
- June 2025, Paper 3 Mechanics, Q10 (8 marks): A uniform semicircular lamina has radius a 10 (a) Show that the centre of mass is a distance 4a 3π from the straight edge of the lamina. [5 marks] 10 (b) The la
- June 2024, Paper 3 Mechanics, Q8 (10 marks): The finite region enclosed by the line y = kx, the x-axis and the line x = 5 is rotated through 360° around the x axis to form a solid cone. 8 (a) (i) Use integ
- June 2023, Paper 3 Mechanics, Q5 (7 marks): A region bounded by the curve with equation y = 4 − x2 , the x-axis and the y-axis is shown below. O x y The region is rotated through 360° around the x-axis to
- November 2021, Paper 3 Mechanics, Q5 (7 marks): A uniform lamina has the shape of the region enclosed by the curve y = x2 + 1 and the lines x = 0 , x = 4 and y = 0 The diagram below shows the lamina. y x 5 (a
- June 2019, Paper 3 Mechanics, Q5 (11 marks): The triangular region shown below is rotated through 360° around the x-axis, to form a solid cone. x y The coordinates of the vertices of the triangle are (0, 0
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