Suspension and toppling: Edexcel A‑Level Further Maths questions

Edexcel A-Level Further Maths past-paper questions on 6.3 Suspension and toppling, 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.

All 18 questions on Suspension and toppling, as a list

June 2025, Further Mechanics 2, Q2 (7 marks): y = 1 x y x 4 2 O Figure 2 The shaded region shown in Figure 2 is bounded by the curve with equation y = 1 x , the line with equation x = 2 , the line with equa
June 2025, Further Mechanics 2, Q4 (9 marks): A 6a B 9a C F 9a E 6a D 3a Figure 5 The uniform rectangular lamina ACDF shown in Figure 5 has AC = FD = 15a and AF = CD = 3a . The point B on AC is such that AB
June 2025, AS Further Mechanics 2, Q1 (8 marks): 4a D C A M E B 3a 3a Figure 1 A uniform plane lamina, shown shaded in Figure 1, is formed by removing an isosceles triangle ABE from a rectangle ABCD. • The mid
June 2023, AS Further Mechanics 2, Q4 (14 marks): 18a 12a 18a 6a A M B E D C Figure 1 A uniform triangular lamina ABC is isosceles, with AC = BC. The midpoint of AB is M. The length of AB is 18a and the length
June 2022, Further Mechanics 2, Q3 (7 marks): A 3a 3a 3a 4a 4a 5a 4a 5a 5a D E F B C Figure 1 Nine uniform rods are joined together to form the rigid framework ABCDEFA, with AB = BC = DF = 3a, BF = CD = DE
June 2022, Further Mechanics 2, Q5 (11 marks): A 3a 3a 3a 3a D E F B O C Figure 3 The uniform plane lamina shown in Figure 3 is formed from two squares, ABCO and ODEF, and a sector ODC of a circle with centr
June 2022, Further Mechanics 2, Q6 (10 marks): 3 9 y = 1 3 x O x y Figure 4 The shaded region shown in Figure 4 is bounded by the x‑axis, the line with equation x = 9 and the line with equation y = 1 3 x. Th
June 2022, AS Further Mechanics 2, Q2 (12 marks): A B C D O E 2a a Figure 2 Uniform wire is used to form the framework shown in Figure 2. In the framework • ABCD is a rectangle with AD = 2a and DC = a • BEC is
November 2021, Further Mechanics 2, Q1 (8 marks): A a 4a O E D C B 2a 2a Figure 1 A letter P from a shop sign is modelled as a uniform plane lamina which consists of a rectangular lamina, OABDE, joined to a sem
November 2021, Further Mechanics 2, Q3 (6 marks): 2a O a Figure 2 A uniform solid hemisphere H has radius 2a. A solid hemisphere of radius a is removed from the hemisphere H to form a bowl. The plane faces of t
November 2020, Further Mechanics 2, Q2 (10 marks): y x y = 8e−x R ln 2 O ln 5 A C D B Figure 1 Figure 2 A uniform plane figure R, shown shaded in Figure 1, is bounded by the x-axis, the line with equation x = ln
November 2020, Further Mechanics 2, Q4 (9 marks): O r 4 3 r Figure 3 A uniform solid cylinder of base radius r and height 4 3 r has the same density as a uniform solid hemisphere of radius r. The plane face of
November 2020, AS Further Mechanics 2, Q1 (15 marks): A D C B a 2a Figure 1 Figure 1 shows a uniform rectangular lamina ABCD with AB = 2a and AD = a The mass of the lamina is 6m. A particle of mass 2m is attached t
June 2019, Further Mechanics 2, Q3 (11 marks): Numerical (calculator) integration is not acceptable in this question. O A L x y B Figure 2 The shaded region OAB in Figure 2 is bounded by the x-axis, the line
June 2019, Further Mechanics 2, Q5 (11 marks): O R x y 2 Figure 4 The region R, shown shaded in Figure 4, is bounded by part of the curve with equation y2 = 2x , the line with equation y = 2 and the y-axis.
June 2019, AS Further Mechanics 2, Q4 (10 marks): C B F A B A E D E D C 6a 4a Triangular lamina Folded lamina 6a 3a 9a Figure 2 The uniform triangular lamina ABCDE is such that angle CEA = ° 90 , CE a 9 and EA
June 2018, AS Further Mechanics 2, Q1 (7 marks): 12a A C B 5a 13a Figure 1 A thin uniform rod, of total length 30a and mass M, is bent to form a frame. The frame is in the shape of a triangle ABC, where AB = 1
June 2018, AS Further Mechanics 2, Q3 (11 marks): E a a C D F 2a B 2a A Figure 2 The lamina L, shown in Figure 2, consists of a uniform square lamina ABDF and two uniform triangular laminas BDC and FDE. The squ

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