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Elastic strings and springs: OCR MEI A‑Level Further Maths questions

Every OCR MEI A-Level Further Maths exam question on FM.3 Elastic strings and springs, 2018–2025, with its mark scheme and examiner’s report.

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847 questions

  1. Q12

    June 2025 · Mechanics Major

    The whole paper ↗
    June 2025 Mechanics Major, question 12: One end of a light elastic string of natural length a m and modulus of elasticity 4mg N is attached to a fixed point O. The other end of the string is attached
  2. Q2

    June 2024 · Mechanics Major

    The whole paper ↗
    June 2024 Mechanics Major, question 2: One end of a light spring is attached to a fixed point. A mass of 2 kg is attached to the other end of the spring. The spring hangs vertically in equilibrium. T
  3. Q8

    June 2024 · Mechanics Major

    The whole paper ↗
    June 2024 Mechanics Major, question 8: A particle P of mass 3m kg is attached to one end of a light elastic string of modulus of elasticity 4mg N and natural length 0.4 m. The other end of the string
  4. Q13

    June 2023 · Mechanics Major

    The whole paper ↗
    June 2023 Mechanics Major, question 13: A particle P of mass m is fixed to one end of a light spring of natural length a and modulus of elasticity man2, where n 2 0 . The other end of the spring is at
  5. Q13

    June 2022 · Mechanics Major

    The whole paper ↗
    June 2022 Mechanics Major, question 13: In this question take g 10 . = A particle P of mass 0.15 kg is attached to one end of a light elastic string of modulus of elasticity 13.5 N and natural length
  6. Q2

    June 2022 · AS Mechanics B

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    June 2022 AS Mechanics B, question 2: A light elastic string has natural length a and modulus of elasticity kmg, where k 2 2. One end of the string is attached to a fixed point O. A particle P of ma
  7. Q6

    June 2022 · AS Mechanics B

    The whole paper ↗
    June 2022 AS Mechanics B, question 6: Two identical light elastic strings, each of length l and modulus of elasticity mmg are attached to a particle P of mass m. The other end of the first string is
  8. Q3

    November 2021 · Mechanics Major

    The whole paper ↗
    November 2021 Mechanics Major, question 3: One end of a light elastic spring of natural length 0.3 m is attached to a fixed point. A mass of 4 kg is attached to the other end of the spring. When the spri
  9. Q12

    November 2021 · Mechanics Major

    The whole paper ↗
    November 2021 Mechanics Major, question 12: A particle P of mass m is fixed to one end of a light elastic string of natural length l and modulus of elasticity 12mg. The other end of the string is attached
  10. Q1

    November 2021 · AS Mechanics B

    The whole paper ↗
    November 2021 AS Mechanics B, question 1: The end O of a light elastic string OA is attached to a fixed point. Fiona attaches a mass of 1 kg to the string at A. The system hangs vertically in equilibriu
  11. Q1

    November 2020 · Mechanics Major

    The whole paper ↗
    November 2020 Mechanics Major, question 1: A particle P of mass 0.5 kg is attached to a fixed point O by a light elastic string of natural length 3 m and modulus of elasticity 75 N. P is released from re
  12. Q7

    November 2020 · Mechanics Major

    The whole paper ↗
    November 2020 Mechanics Major, question 7: O P A 30° Fig. 7 A particle P of mass m is attached to one end of a light elastic string of natural length 6a and modulus of elasticity 3mg. The other end of th
  13. Q1

    June 2019 · AS Mechanics B

    The whole paper ↗
    June 2019 AS Mechanics B, question 1: A small object of mass 5 kg is attached to one end of each of two identical parallel light elastic strings. The upper ends of both strings are attached to a hor
All 13 questions on Elastic strings and springs, as a list
  1. June 2025, Mechanics Major, Q12 (13 marks): One end of a light elastic string of natural length a m and modulus of elasticity 4mg N is attached to a fixed point O. The other end of the string is attached
  2. June 2024, Mechanics Major, Q2 (9 marks): One end of a light spring is attached to a fixed point. A mass of 2 kg is attached to the other end of the spring. The spring hangs vertically in equilibrium. T
  3. June 2024, Mechanics Major, Q8 (10 marks): A particle P of mass 3m kg is attached to one end of a light elastic string of modulus of elasticity 4mg N and natural length 0.4 m. The other end of the string
  4. June 2023, Mechanics Major, Q13 (15 marks): A particle P of mass m is fixed to one end of a light spring of natural length a and modulus of elasticity man2, where n 2 0 . The other end of the spring is at
  5. June 2022, Mechanics Major, Q13 (17 marks): In this question take g 10 . = A particle P of mass 0.15 kg is attached to one end of a light elastic string of modulus of elasticity 13.5 N and natural length
  6. June 2022, AS Mechanics B, Q2 (6 marks): A light elastic string has natural length a and modulus of elasticity kmg, where k 2 2. One end of the string is attached to a fixed point O. A particle P of ma
  7. June 2022, AS Mechanics B, Q6 (10 marks): Two identical light elastic strings, each of length l and modulus of elasticity mmg are attached to a particle P of mass m. The other end of the first string is
  8. November 2021, Mechanics Major, Q3 (4 marks): One end of a light elastic spring of natural length 0.3 m is attached to a fixed point. A mass of 4 kg is attached to the other end of the spring. When the spri
  9. November 2021, Mechanics Major, Q12 (18 marks): A particle P of mass m is fixed to one end of a light elastic string of natural length l and modulus of elasticity 12mg. The other end of the string is attached
  10. November 2021, AS Mechanics B, Q1 (8 marks): The end O of a light elastic string OA is attached to a fixed point. Fiona attaches a mass of 1 kg to the string at A. The system hangs vertically in equilibriu
  11. November 2020, Mechanics Major, Q1 (5 marks): A particle P of mass 0.5 kg is attached to a fixed point O by a light elastic string of natural length 3 m and modulus of elasticity 75 N. P is released from re
  12. November 2020, Mechanics Major, Q7 (13 marks): O P A 30° Fig. 7 A particle P of mass m is attached to one end of a light elastic string of natural length 6a and modulus of elasticity 3mg. The other end of th
  13. June 2019, AS Mechanics B, Q1 (4 marks): A small object of mass 5 kg is attached to one end of each of two identical parallel light elastic strings. The upper ends of both strings are attached to a hor

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