Motion in a circle: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on M3.4 Motion in a circle, 2019–2025, with its mark scheme and examiner’s report.
Paper
All papers
Exam
All years
All 27 questions on Motion in a circle, as a list
- June 2025, Mechanics 3 (M3), Q2 (7 marks): O a P 30 Figure 2 One end of a light inextensible string of length a is attached to a fixed point O which lies above a smooth horizontal table. The other end is
- June 2025, Mechanics 3 (M3), Q5 (14 marks): A P P B v O r α α Figure 4 A fixed solid sphere has centre O and radius r. A particle P of mass m is held at the point A on the smooth outer surface of the sphe
- January 2025, Mechanics 3 (M3), Q5 (10 marks): O P U P(m) A θ 3 4 a Figure 5 One end of a light inextensible string of length a is attached to a fixed point O. The other end is attached to a particle P of ma
- January 2025, Mechanics 3 (M3), Q6 (16 marks): r P(m) O A θ 1 2 a Figure 6 A fixed point O is a distance 1 2 a above a smooth horizontal table. The point A is on the table, vertically below O. A light elasti
- June 2024, Mechanics 3 (M3), Q2 (8 marks): d O a P Figure 2 A thin hemispherical shell, with centre O and radius a, is fixed with its open end uppermost and horizontal. A particle P of mass m moves in a
- June 2024, Mechanics 3 (M3), Q6 (13 marks): P u v A B θ r O C Figure 4 A fixed solid sphere has centre O and radius r. A particle P of mass m is held at rest on the smooth surface of the sphere at A, the
- January 2024, Mechanics 3 (M3), Q4 (9 marks): 3a V O 4a r Figure 3 Figure 3 shows a thin hollow right circular cone fixed with its circular rim horizontal. The centre of the circular rim is O. The vertex V
- January 2024, Mechanics 3 (M3), Q7 (13 marks): C B r θ O A Figure 5 A thin smooth hollow spherical shell has centre O and radius r. Part of the shell is removed to form a bowl with a plane circular rim. The
- June 2023, Mechanics 3 (M3), Q4 (12 marks): α Figure 4 A car is travelling round a circular track. The track is banked at an angle α to the horizontal, as shown in Figure 4. The car and driver are modelle
- June 2023, Mechanics 3 (M3), Q6 (16 marks): O a P u Figure 5 A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed po
- January 2023, Mechanics 3 (M3), Q5 (14 marks): O B A a 3 a a P(m) Figure 5 A particle P of mass m is attached to one end of a light inextensible string of length a 3. The other end of the string is attached
- January 2023, Mechanics 3 (M3), Q6 (14 marks): B R (m) A O Figure 6 A small smooth ring R of mass m is threaded on to a smooth wire in the shape of a circle with centre O and radius l. The wire is fixed in a
- June 2022, Mechanics 3 (M3), Q2 (9 marks): C A O P 6r Figure 1 A hemispherical bowl of internal radius 6r is fixed with its circular rim horizontal. The centre of the circular rim is O and the point A on
- June 2022, Mechanics 3 (M3), Q6 (13 marks): 9 5 ag A O P θ Figure 4 A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a f
- January 2022, Mechanics 3 (M3), Q2 (8 marks): O P l 2l A Figure 2 A particle P of mass m is attached to one end of a light inextensible string of length 2l. The other end of the string is attached to a fixe
- January 2022, Mechanics 3 (M3), Q7 (17 marks): O α A P l u v θ Figure 4 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. The
- October 2021, Mechanics 3 (M3), Q5 (11 marks): A l l R (m) P (m) 6 5 l Figure 2 A small smooth ring R of mass m is threaded on to a thin smooth fixed vertical pole. One end of a light inextensible string of
- October 2021, Mechanics 3 (M3), Q6 (10 marks): P u v θ α O P Figure 3 A light rod of length a is free to rotate in a vertical plane about a horizontal axis through one end O. A particle P of mass m is attach
- June 2021, Mechanics 3 (M3), Q2 (9 marks): a θ 5 4 a Figure 2 Figure 2 shows a fairground ride that consists of a chair of mass m attached to one end of a rigid arm of length 5 4 a . The other end of the
- June 2021, Mechanics 3 (M3), Q4 (9 marks): A l O 30° Figure 3 A circus performer has mass m. She is attached to one end of a cable of length l. The other end of the cable is attached to a fixed point O I
- January 2021, Mechanics 3 (M3), Q3 (11 marks): C B A 5 m 5 m 8 m Figure 2 A fairground ride consists of a cabin C that travels in a horizontal circle with a constant angular speed about a fixed vertical cent
- January 2021, Mechanics 3 (M3), Q6 (13 marks): O A 2a 60° 3 ag Figure 7 A particle of mass m is attached to one end of a light inextensible string of length 2a. The other end of the string is attached to a f
- October 2020, Mechanics 3 (M3), Q1 (6 marks): P 70 cm Figure 1 Figure 1 shows a hollow cylinder with diameter 70 cm. The cylinder is rotating at a constant angular speed about its axis, which is vertical. A
- October 2020, Mechanics 3 (M3), Q7 (17 marks): 8a 5a E B O 8ag A F Figure 5 A particle of mass m is attached to one end of a light inextensible string of length 8a. The other end of the string is fixed to th
- January 2020, Mechanics 3 (M3), Q1 (6 marks): A rough disc is rotating at a constant angular speed of 5 revolutions per minute about a vertical axis. The axis is perpendicular to the plane of the disc and p
- January 2020, Mechanics 3 (M3), Q3 (11 marks): B P A Figure 1 Figure 1 shows a hemispherical bowl of internal radius a fixed with its open plane face uppermost and horizontal. The lowest point of the bowl is
- January 2020, Mechanics 3 (M3), Q5 (11 marks): A 7ag P B 4a 3a Figure 2 One end of a light inextensible string of length 4a is attached to a fixed point A on a horizontal ceiling. A particle, P, of mass m is
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every Edexcel International A Level Further Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.