plumiCentres of mass: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M2.2 Centres of mass, 2019–2025, with its mark scheme and examiner’s report.
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All 19 questions on Centres of mass, as a list
- June 2025, Mechanics 2 (M2), Q3 (10 marks): [The distance of the centre of mass of a semicircular arc of radius r is 2r π from its centre.] A B C D E O 2a a a Figure 1 A uniform rigid wire framework, show
- June 2025 (A), Mechanics 2 (M2), Q2 (10 marks): [In this question you may use, without proof, the formula for the centre of mass of a uniform sector of a circle.] A C D B 2a Figure 1 A uniform square lamina
- January 2025, Mechanics 2 (M2), Q6 (11 marks): Figure 4 The uniform rectangular lamina ABCD has AB a = 8 and AD ka = . The isosceles triangle AED has AE DE = and the perpendicular height of the triangle is 6
- October 2024, Mechanics 2 (M2), Q4 (12 marks): A B 5a 3a 7a C D Figure 2 The uniform lamina ABCD shown in Figure 2 is in the shape of an isosceles trapezium. • BC is parallel to AD and angle BAD is equal to
- June 2024, Mechanics 2 (M2), Q3 (12 marks): R X r Y Figure 1 A uniform circular disc C has centre X and radius R. A disc with centre Y and radius r, where 0 < r < R and XY = R – r, is removed from C to fo
- January 2024, Mechanics 2 (M2), Q4 (9 marks): A 5a 3a 4a 3a D T S B C A 5a 3a 4a 3a D T S B C Figure 2 Figure 3 The uniform rectangular lamina ABCD, shown in Figure 2, has DC = 4a and AD = 5a The points S o
- October 2023, Mechanics 2 (M2), Q2 (14 marks): Q R T P Y V 2a 2a 4a W S U X Figure 1 Figure 1 shows a template where • PQUY is a uniform square lamina with sides of length 4a • RSTU is a uniform square lamin
- June 2023, Mechanics 2 (M2), Q3 (8 marks): C C 9y 3y 6x B B Q F Q P P A A Figure 1 The uniform triangular lamina ABC, shown in Figure 1, has height 9y, base BC x = 6 , and AB AC = The points P and Q are
- January 2023, Mechanics 2 (M2), Q3 (8 marks): A E B D C 6a 6a 8a Figure 1 The uniform lamina ABDE is in the shape of a rectangle with AB = 8a and BD = 6a. The triangle BCD is isosceles and has base 6a and p
- October 2022, Mechanics 2 (M2), Q1 (6 marks): Three particles of masses 2m, 3m and 4m are placed at the points with coordinates (–2, 5), (2, –3) and (3k, k) respectively, where k is a constant. The centre o
- October 2022, Mechanics 2 (M2), Q6 (9 marks): P 2a 2a ka ka Q R S T V U Figure 2 The uniform lamina PQRSTUV shown in Figure 2 is formed from two identical rectangles, PQUV and QRSTU. The rectangles have sid
- June 2022, Mechanics 2 (M2), Q7 (12 marks): P T R 6a 6a 3a 3a V U Q S Figure 3 The template shown in Figure 3 is formed by joining together three separate laminas. All three laminas lie in the same plane.
- January 2022, Mechanics 2 (M2), Q6 (11 marks): [The centre of mass of a semicircular arc of radius r is 2r π from the centre.] 24a E D C B A 7a Figure 2 Uniform wire is used to form the framework shown in Fi
- October 2021, Mechanics 2 (M2), Q7 (11 marks): In this question you may use, without proof, the formula for the centre of mass of a uniform sector of a circle, as given in the formulae book. B C D A E d a a
- June 2021, Mechanics 2 (M2), Q3 (8 marks): A 6a 6a 4a 4a D H E a a a G B C F Figure 1 The uniform lamina ABCD is a square of side 6a. The template T, shown shaded in Figure 1, is formed by removing the r
- January 2021, Mechanics 2 (M2), Q2 (5 marks): A B C F 13a 13a 10a Figure 1 The uniform lamina ABC has sides AB = AC = 13a and BC = 10a. The lamina is freely suspended from A. A horizontal force of magnitude
- January 2021, Mechanics 2 (M2), Q4 (9 marks): A B C D E Figure 2 The number “4”, shown in Figure 2, is a rigid framework made from three uniform rods, AB, BC and CD, where AB = 6a, BC = 5a and CD = 4a The p
- October 2020, Mechanics 2 (M2), Q4 (9 marks): A B C D 2a a a 2a 4a P Q 4a 8a 8a V U R S T Figure 2 The uniform lamina L, shown shaded in Figure 2, is formed by removing the square PQRV, of side 2 , and the
- January 2020, Mechanics 2 (M2), Q4 (10 marks): [The centre of mass of a uniform semicircular lamina of radius r is 4 3 r π from the centre.] 2a 3a 4a B C A D F E Figure 3 The uniform rectangular lamina ABCDE
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