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Simple harmonic motion: Edexcel A‑Level Physics questions

Every Edexcel A-Level Physics exam question on Simple harmonic motion (specification points 181–185), 2016–2025, with its mark scheme and examiner’s report.

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1,540 questions

  1. Q6

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 6: A trolley is attached to two springs and set into horizontal oscillation, as shown. stand direction of oscillation spring clamp trolley bench The kinetic energy
  2. Q20(b)(i)

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 20(b)(i): The towers were designed to permit a maximum horizontal displacement of 0.90 m at the top of the towers. The natural frequency of each tower is 0.17 Hz. Calcula
  3. Q9(a)(i)

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 9(a)(i): Explain one modification to the apparatus which would improve the accuracy of the data the student obtained. (3)
  4. Q9(a)(ii)

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 9(a)(ii): Explain one modification to the student’s method which would reduce the percentage uncertainty in her measurement of T. (2)
  5. Q9(b)

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 9(b): The length of the metre rule overhanging the bench was L. The period of oscillation T is related to L, M and the Young modulus E of the wood of the metre rule b
  6. Q9

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 9: A mass is suspended from a spring and displaced vertically. The mass performs simple harmonic motion. The graph shows how the acceleration of the mass varies wi
  7. Q16(a)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 16(a): Determine the mass of the astronaut. spring constant = 350 N m –1 mass of platform = 5.7 kg (4) Mass of astronaut =
  8. Q16(b)(i)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 16(b)(i): Calculate the magnitude of the maximum acceleration of the astronaut. (4) Magnitude of maximum acceleration =
  9. Q16(b)(ii)

    June 2024 · Paper 2

    The whole paper ↗
    June 2024 Paper 2, question 16(b)(ii): Calculate the speed of the astronaut 3.5 s after the start of the oscillations. (2) Speed =
  10. Q5(a)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 5(a): Explain how the procedure used by the student to determine T could have been improved. (6)
  11. Q5(b)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 5(b): The mass of the trolley was M. The student added a small mass m to the trolley and determined the new value of T. She repeated the procedure for a range of valu
  12. Q8(b)(i)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 8(b)(i): Show that the time taken for the pendulum bob to move from its lowest position to its highest position is about 0.6 s. effective length of pendulum = 1.25 m (3)
  13. Q8(b)(ii)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 8(b)(ii): The pendulum bob was then attached to a spring of stiffness 0.12 N m–1. When the bob was displaced vertically and released, it oscillated with a time period equ
  14. Q10(a)

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 10(a): The graph shows how the acceleration a of the baby depends upon the displacement x of the baby from its equilibrium position. 20 a / cm s–2 15 10 5 x / cm 0 –5
  15. Q9

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 9: An object oscillates with simple harmonic motion. The object has kinetic energy Ek and displacement x. Which of the following graphs shows the variation of Ek w
  16. Q16(b)(ii)

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 16(b)(ii): A force is applied to the car which results in a further small compression of each spring. The force is then removed, and the body of the car oscillates with si
  17. Q16(c)

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 16(c): State the conditions for simple harmonic motion. (2)
  18. Q6(a)

    June 2023 · Paper 3

    The whole paper ↗
    June 2023 Paper 3, question 6(a): Describe how the method used by the student could be improved to determine a more accurate value of the time period. (4)
  19. Q6(b)

    June 2023 · Paper 3

    The whole paper ↗
    June 2023 Paper 3, question 6(b): The student displaced the trolley 6.0 cm from the equilibrium position. She recorded the velocity of the oscillating trolley using a sensor connected to a data
  20. Q6(c)(ii)

    June 2023 · Paper 3

    The whole paper ↗
    June 2023 Paper 3, question 6(c)(ii): Determine the effective spring constant k of the oscillating trolley system. mass of trolley = 0.87 kg (2) k =
All 58 questions on Simple harmonic motion, as a list
  1. June 2025, Paper 2, Q6 (1 mark): A trolley is attached to two springs and set into horizontal oscillation, as shown. stand direction of oscillation spring clamp trolley bench The kinetic energy
  2. June 2025, Paper 2, Q20(b)(i) (3 marks): The towers were designed to permit a maximum horizontal displacement of 0.90 m at the top of the towers. The natural frequency of each tower is 0.17 Hz. Calcula
  3. June 2025, Paper 3, Q9(a)(i) (3 marks): Explain one modification to the apparatus which would improve the accuracy of the data the student obtained. (3)
  4. June 2025, Paper 3, Q9(a)(ii) (2 marks): Explain one modification to the student’s method which would reduce the percentage uncertainty in her measurement of T. (2)
  5. June 2025, Paper 3, Q9(b) (6 marks): The length of the metre rule overhanging the bench was L. The period of oscillation T is related to L, M and the Young modulus E of the wood of the metre rule b
  6. June 2024, Paper 2, Q9 (1 mark): A mass is suspended from a spring and displaced vertically. The mass performs simple harmonic motion. The graph shows how the acceleration of the mass varies wi
  7. June 2024, Paper 2, Q16(a) (4 marks): Determine the mass of the astronaut. spring constant = 350 N m –1 mass of platform = 5.7 kg (4) Mass of astronaut =
  8. June 2024, Paper 2, Q16(b)(i) (4 marks): Calculate the magnitude of the maximum acceleration of the astronaut. (4) Magnitude of maximum acceleration =
  9. June 2024, Paper 2, Q16(b)(ii) (2 marks): Calculate the speed of the astronaut 3.5 s after the start of the oscillations. (2) Speed =
  10. June 2024, Paper 3, Q5(a) (6 marks): Explain how the procedure used by the student to determine T could have been improved. (6)
  11. June 2024, Paper 3, Q5(b) (4 marks): The mass of the trolley was M. The student added a small mass m to the trolley and determined the new value of T. She repeated the procedure for a range of valu
  12. June 2024, Paper 3, Q8(b)(i) (3 marks): Show that the time taken for the pendulum bob to move from its lowest position to its highest position is about 0.6 s. effective length of pendulum = 1.25 m (3)
  13. June 2024, Paper 3, Q8(b)(ii) (2 marks): The pendulum bob was then attached to a spring of stiffness 0.12 N m–1. When the bob was displaced vertically and released, it oscillated with a time period equ
  14. June 2024, Paper 3, Q10(a) (3 marks): The graph shows how the acceleration a of the baby depends upon the displacement x of the baby from its equilibrium position. 20 a / cm s–2 15 10 5 x / cm 0 –5
  15. June 2023, Paper 2, Q9 (1 mark): An object oscillates with simple harmonic motion. The object has kinetic energy Ek and displacement x. Which of the following graphs shows the variation of Ek w
  16. June 2023, Paper 2, Q16(b)(ii) (3 marks): A force is applied to the car which results in a further small compression of each spring. The force is then removed, and the body of the car oscillates with si
  17. June 2023, Paper 2, Q16(c) (2 marks): State the conditions for simple harmonic motion. (2)
  18. June 2023, Paper 3, Q6(a) (4 marks): Describe how the method used by the student could be improved to determine a more accurate value of the time period. (4)
  19. June 2023, Paper 3, Q6(b) (5 marks): The student displaced the trolley 6.0 cm from the equilibrium position. She recorded the velocity of the oscillating trolley using a sensor connected to a data
  20. June 2023, Paper 3, Q6(c)(ii) (2 marks): Determine the effective spring constant k of the oscillating trolley system. mass of trolley = 0.87 kg (2) k =
  21. June 2023, Paper 3, Q10(a)(i) (2 marks): The student displaced the pendulum through a small angle so that it oscillated. She determined the time period T as 2.50 s. Calculate the length of the pendulum
  22. June 2022, Paper 2, Q20(a) (5 marks): The mass of the flamingo is 65 g. When the flamingo is suspended vertically the spring extends by 8.5 cm. The flamingo is pulled downwards by a small extra disp
  23. June 2022, Paper 2, Q20(c)(i) (2 marks): Show that the period of oscillation of the flamingo pendulum is about 2.2 s. pendulum length = 1.25 m (2)
  24. June 2022, Paper 2, Q20(c)(ii) (3 marks): The amplitude of oscillation of the flamingo pendulum is 7.5 cm. Calculate the maximum velocity of the flamingo pendulum. (3) Maximum velocity =
  25. June 2022, Paper 3, Q4 (5 marks): The diagram shows a metronome, which includes an inverted pendulum, used by musicians to set a tempo. The pendulum oscillates with simple harmonic motion and ma
  26. June 2022, Paper 3, Q12(c) (5 marks): Buildings in nearby Tohoku University suffered structural damage during the 2011 earthquake. The graph shows how the acceleration of one of the buildings, measu
  27. November 2021, Paper 2, Q9 (1 mark): A mass is suspended from a spring and allowed to come to equilibrium. The mass is displaced vertically and moves with simple harmonic motion. The graph shows ho
  28. November 2021, Paper 2, Q11 (4 marks): A simple pendulum consisting of a thread and a bob is set up next to a horizontal rod. The bob is displaced to the left and released. When the bob reaches the e
  29. November 2021, Paper 3, Q10(b)(i) (1 mark): Give an example of another possible systematic error in this experiment. (1)
  30. November 2021, Paper 3, Q10(b)(ii) (3 marks): Another student suggests that to reduce the uncertainty in the value for the period, a data logger connected to a light gate could be used to measure time. Comm
  31. November 2021, Paper 3, Q10(b)(iii) (3 marks): Determine a value for the stiffness of the spring. (3) Stiffness of spring =
  32. November 2021, Paper 3, Q10(c) (3 marks): When determining the period of oscillation for each mass, the student measured the time for 20 oscillations. He repeated this measurement to obtain a mean time
  33. October 2020, Paper 2, Q7 (1 mark): A pendulum of length l with a bob of mass m oscillates with frequency f. What is the frequency of a pendulum of length 4l with a bob of mass 2m? A 4 f B 2 f C f
  34. October 2020, Paper 2, Q13(a) (2 marks): State why the mass will oscillate with simple harmonic motion when it is displaced slightly from its equilibrium position and released. (2)
  35. October 2020, Paper 2, Q13(b) (5 marks): The student then investigated the oscillations of the mass on the metal strip. The student fixed different numbers of 10 g masses to the end of the metal strip.
  36. October 2020, Paper 3, Q3(a) (2 marks): To determine the period T of the pendulum, the student used the following method: • release the bob from its highest position and start a stopwatch • stop the s
  37. October 2020, Paper 3, Q3(b) (5 marks): The student used her data to plot a graph of T 2 against d as shown below. 14.0 13.0 12.0 11.0 T 2 / s2 10.0 9.0 8.0 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 d /
  38. June 2019, Paper 2, Q10 (1 mark): A mass at the end of a spring is set into small amplitude simple harmonic motion. Which of the following graphs correctly shows the variation of velocity v of t
  39. June 2019, Paper 2, Q16(a) (4 marks): The pendulum makes 8 complete oscillations in 52.2 s. Show that the length of the wire supporting the sphere is about 10m. diameter of sphere = 60.0cm (4)
  40. June 2019, Paper 3, Q7(a)(i) (6 marks): Explain the procedure that the student should follow to make an accurate determination of the time period T of the trolley. (6)
  41. June 2019, Paper 3, Q7(a)(ii) (3 marks): Describe how the student should use her value of T to determine the maximum speed of the trolley. (3)
  42. June 2019, Paper 3, Q7(b) (1 mark): Another student suggests that a more accurate value for T could be obtained by using a position sensor and data logger. Comment on this suggestion. (1)
  43. June 2019, Paper 3, Q7(c) (3 marks): The student displaces the trolley a greater distance from the equilibrium position, so the amplitude of oscillation is doubled. The trolley still moves with sim
  44. June 2018, Paper 2, Q8 (1 mark): The graph shows how the displacement of a simple harmonic oscillator varies with time. Time Which of the following graphs shows how velocity varies with time fo
  45. June 2018, Paper 2, Q16(b)(i) (1 mark): State the phase relationship between the two pendulums. (1)
  46. June 2018, Paper 2, Q16(b)(ii) (3 marks): Determine the length of pendulums A and B. (3) Length =
  47. June 2018, Paper 3, Q5(a)(i) (2 marks): Calculate a more accurate value for lm. (2) lm =
  48. June 2018, Paper 3, Q5(a)(ii) (2 marks): Determine the time period of the oscillations of this pendulum, using your calculated value for lm. (2) Time period of oscillations =
  49. June 2018, Paper 3, Q5(b) (4 marks): She sets the pendulum into oscillations with small amplitude and uses a stopwatch to determine the time period. A B O The student releases the pendulum at A and
  50. June 2018, Paper 3, Q11(b) (2 marks): State what is meant by simple harmonic motion. (2)
  51. June 2018, Paper 3, Q11(c)(i) (2 marks): the frequency of oscillation (2)
  52. June 2018, Paper 3, Q11(c)(ii) (2 marks): the maximum speed of the platform. (2)
  53. June 2018, Paper 3, Q11(d) (2 marks): The platform continues to move with simple harmonic motion at the same frequency, but its amplitude is doubled. Explain how the maximum kinetic energy of the pl
  54. June 2017, Paper 2, Q3 (1 mark): A playground swing completes 24 oscillations in 1 minute. Which of the following is the frequency of the oscillations? A 0.042 Hz B 0.40 Hz C 2.5 Hz D 24 Hz
  55. June 2017, Paper 3, Q4(a) (2 marks): Calculate the length L required for the pendulum to be a “seconds pendulum”. (2) L =
  56. June 2017, Paper 3, Q4(b) (2 marks): The student set the pendulum into oscillation. She used a stopwatch to check the accuracy of the pendulum’s period T. Describe the procedure the student should
  57. June 2017, Paper 3, Q4(c) (4 marks): Another student suggested that the uncertainty in the measurement of the time period of the pendulum could be reduced by using a light gate and a data logger. T
  58. June 2017, Paper 3, Q11(c) (4 marks): Two identical springs are joined in series and a bar magnet is hung from one end as shown. S N The bar magnet is displaced a small distance vertically from its

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