plumiElastic strings and springs: OCR A‑Level Further Maths questions
Every OCR 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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All 9 questions on Elastic strings and springs, as a list
- June 2025, Mechanics, Q9 (8 marks): In this question you must show detailed reasoning. A rigid circular frame of centre C and radius r m is fixed in a vertical plane. A particle P of mass 1.25 kg
- June 2024, Mechanics, Q2 (5 marks): One end of a light elastic string of natural length 1.4 m and modulus of elasticity 20 N is attached to a small object B of mass 2.5 kg. The other end of the st
- June 2024, Mechanics, Q8 (8 marks): A shape, S, is formed by attaching a particle of mass 2m kg to the vertex of a uniform solid cone of mass 8m kg. The height of the cone is h m and the radius of
- June 2023, Mechanics, Q8 (8 marks): One end of a light elastic string of natural length 2.1 m and modulus of elasticity 4.8 N is attached to a particle, P, of mass 1.75 kg. The other end of the st
- June 2022, Mechanics, Q2 (7 marks): The coordinates of two points, A and B, are ( 1 - , 6) and (5, 12) respectively, where the units of the coordinate axes are metres. A particle P moves from A to
- November 2021, Mechanics, Q1 (5 marks): One end of a light elastic string of natural length 0.6 m and modulus of elasticity 24 N is attached to a fixed point O. The other end is attached to a particle
- November 2020, Mechanics, Q2 (6 marks): A bungee jumper of mass 80 kg steps off a high bridge with an elastic rope attached to her ankles. She is assumed to fall vertically from rest and the air resis
- November 2020, Mechanics, Q8 (9 marks): One end of a light elastic string of natural length l m and modulus of elasticity m N is attached to a particle A of mass m kg. The other end of the string is a
- June 2019, Mechanics, Q4 (9 marks): A right circular cone C of height 4 m and base radius 3 m has its base fixed to a horizontal plane. One end of a light elastic string of natural length 2 m and
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