plumiMotion in a circle: Edexcel A‑Level Further Maths questions
Every Edexcel A-Level Further Maths exam question on FM.5 Motion in a circle, 2018–2025, with its mark scheme and examiner’s report.
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All 21 questions on Motion in a circle, as a list
- June 2025, Further Mechanics 2, Q3 (7 marks): A B P 0.6 m 0.6 m 0.8 m Figure 4 A particle P of mass 0.2 kg is attached to one end of a light inextensible string of length 0.6 m. The other end of the string
- June 2025, Further Mechanics 2, Q8 (12 marks): In this question use g = 10 m s –2 1.5 m 1.5 m 6 m s –1 v m s –1 O P P θ Figure 8 A particle P of mass 0.4 kg is attached to one end of a light inextensible str
- June 2025, AS Further Mechanics 2, Q4 (12 marks): A car is travelling round a circular track. The car moves with constant speed in a horizontal circle of radius r. In an initial model, • the car and driver are
- June 2024, Further Mechanics 2, Q3 (9 marks): C P O 8d 10d Figure 2 Figure 2 shows a hemispherical bowl of internal radius 10d that is fixed with its circular rim horizontal. The centre of the circular rim
- June 2024, Further Mechanics 2, Q7 (14 marks): O r A B U v θ Figure 6 A smooth solid hemisphere has radius r and the centre of its plane face is O. The hemisphere is fixed with its plane face in contact with
- June 2024, AS Further Mechanics 2, Q2 (10 marks): O a h C r B Figure 2 A thin hollow hemisphere, with centre O and radius a, is fixed with its axis vertical, as shown in Figure 2. A small ball B of mass m moves
- June 2023, Further Mechanics 2, Q4 (9 marks): P R O v a θ Figure 2 A smooth hemisphere of radius a is fixed on a horizontal surface with its plane face in contact with the surface. The centre of the plane f
- June 2023, Further Mechanics 2, Q6 (9 marks): V P 0.6 m 0.8 m 0.5 m Figure 4 A hollow right circular cone, of internal base radius 0.6 m and height 0.8 m, is fixed with its axis vertical and its vertex V po
- June 2023, AS Further Mechanics 2, Q3 (9 marks): A girl is cycling round a circular track. The girl and her bicycle have a combined mass of 55 kg. The coefficient of friction between the track surface and the
- June 2022, Further Mechanics 2, Q4 (8 marks): A 6a ω R B θ Figure 2 A small smooth ring R of mass m is threaded onto a light inextensible string. One end of the string is attached to a fixed point A and the
- June 2022, Further Mechanics 2, Q7 (12 marks): θ O P u 2 5 a Figure 5 A package P of mass m is attached to one end of a string of length 2 5 a . The other end of the string is attached to a fixed point O. Th
- June 2022, AS Further Mechanics 2, Q3 (11 marks): A cyclist is travelling around a circular track which is banked at an angle α to the horizontal, where tan α = 3 4 The cyclist moves with constant speed in a ho
- November 2021, Further Mechanics 2, Q4 (10 marks): A B R l Figure 4 One end of a light inextensible string of length 2l is attached to a fixed point A. A small smooth ring R of mass m is threaded on the string a
- November 2021, Further Mechanics 2, Q5 (16 marks): A light inextensible string of length a has one end attached to a fixed point O. The other end of the string is attached to a small stone of mass m. The stone i
- November 2020, Further Mechanics 2, Q5 (11 marks): 40 cm P O A 60 cm Figure 4 A particle P of mass 0.75 kg is attached to one end of a light inextensible string of length 60 cm. The other end of the string is at
- November 2020, Further Mechanics 2, Q6 (13 marks): O v P α l Figure 5 A particle P of mass m is attached to one end of a light inextensible string of length l. The other end of the string is attached to a fixed
- November 2020, AS Further Mechanics 2, Q2 (13 marks): A P B a 3 Figure 2 One end of a string of length 3a is attached to a point A and the other end is attached to a point B on a smooth horizontal table. The point
- June 2019, Further Mechanics 2, Q1 (6 marks): a B 1 4 a Figure 1 A hemispherical shell of radius a is fixed with its rim uppermost and horizontal. A small bead, B, is moving with constant angular speed, Ȧ,
- June 2019, Further Mechanics 2, Q7 (12 marks): A particle, P, of mass m is attached to one end of a light rod of length L. The other end of the rod is attached to a fixed point O so that the rod is free to r
- June 2019, AS Further Mechanics 2, Q3 (9 marks): A light inextensible string has length 8a. One end of the string is attached to a fixed point A and the other end of the string is attached to a fixed point B,
- June 2018, AS Further Mechanics 2, Q2 (9 marks): A car moves round a bend which is banked at a constant angle of θ ° to the horizontal. When the car is travelling at a constant speed of 80 km h−1 there is no s
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