plumiCentres of mass: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FM.6 Centres of mass, 2018–2025, with its mark scheme and examiner’s report.
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All 12 questions on Centres of mass, as a list
- June 2025, Mechanics Major, Q2 (4 marks): y 4 A 7m B 2m 2 x – 4 – 2 0 2 4 – 2 C km The diagram shows a system of three particles of masses 7m, 2m and km situated in the x-y plane at the points A(-2, 3),
- June 2025, AS Mechanics A, Q7 (11 marks): The diagram shows a light square lamina OABC where O is the origin of the coordinate system in which the points A, B and C have coordinates (1, 0), (1, 1) and (
- June 2024, AS Mechanics A, Q1 (4 marks): Two horizontal forces of magnitudes 7 N and 15 N act at a point O. The 15 N force acts an angle of ° i above the positive x-axis. The 7 N force acts at an angle
- June 2023, Mechanics Minor, Q6 (14 marks): 3 6 In this question you may use the fact that the volume of a sphere of radius r is r . r 3 Fig. 6.1 shows a container in the shape of an open-topped cylinder.
- June 2022, AS Mechanics A, Q1 (7 marks): (a) Fig. 1.1 and Fig. 1.2 show rigid rods with forces acting as marked. The diagrams are to scale, and in each figure the side length of a grid square is 1 metr
- November 2021, Mechanics Major, Q2 (4 marks): The diagram shows a system of three particles of masses 3m, 5m and 2m situated in the x-y plane at the points A (1, 2), B (2, -2) and C (5, 3) respectively. y 4
- November 2021, Mechanics Major, Q4 (6 marks): In this question you must show detailed reasoning. y 4 y 3 x = ,13 ^ h 2 y 4 x = - x 0 2 2 The diagram shows parts of the curves y 3 x and y 4 x , which interse
- November 2020, AS Mechanics A, Q6 (10 marks): Fig. 6.1 shows a solid uniform prism OABCDEFG. The Ox, Oy and Oz axes are also shown. The cross-section of the prism is a trapezium. Fig. 6.2 shows the face OAB
- June 2019, Mechanics Major, Q1 (5 marks): Three forces represented by the vectors 4 ,i i 2 j and i k 2 j act at the points with coordinates - + - (0, 0), (3, 0) and (0, 4) respectively. (a) Given that t
- June 2019, Mechanics Major, Q7 (8 marks): In this question you must show detailed reasoning. y y 2 ln x = 3 ln2 R x 0 Fig. 7 2 Fig. 7 shows the curve with equation y ln x . The region R, shown shaded in
- June 2019, Mechanics Minor, Q3 (7 marks): Two identical uniform rectangular laminas, P and Q, each having length ka and width a are fixed together, in the same plane, to form a lamina R. With reference
- June 2019, Mechanics Minor, Q5 (14 marks): Jack and Jemima are pulling a boat along a straight level canal. The resistance to the motion of the boat is modelled as constant and equal to 1200 N. Jack and
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