plumiSimple harmonic motion and oscillations: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on I.3 Simple harmonic motion and oscillations, 2019–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 10 questions on Simple harmonic motion and oscillations, as a list
- June 2025, Paper 1, Q17 (11 marks): (a) Show that during the subsequent motion the particle satisfies the differential equation . d d d d + + = 2 2 4 0 6 8 0 5 x x x t t Fully justify your answer.
- June 2024, Paper 1, Q18 (12 marks): In this question use g = 9.8 m s–2 Two light elastic strings each have one end attached to a small ball B of mass 0.5 kg The other ends of the strings are attac
- June 2024, Paper 2, Q2 (1 mark): The movement of a particle is described by the simple harmonic equation x.. = –25x where x metres is the displacement of the particle at time t seconds, and x..
- June 2023, Paper 1, Q4 (1 mark): The solution of a second order differential equation is f (t) The differential equation models heavy damping. Which one of the statements below could be true? T
- June 2023, Paper 2, Q16 (16 marks): A bungee jumper of mass m kg is attached to an elastic rope. The other end of the rope is attached to a fixed point. The bungee jumper falls vertically from the
- June 2022, Paper 1, Q1 (1 mark): The displacement of a particle from its equilibrium position is x metres at time t seconds. The motion of the particle obeys the differential equation d2x dt2 =
- June 2022, Paper 1, Q11 (19 marks): In this question use g as 10 m s−2 A smooth plane is inclined at 30° to the horizontal. The fixed points A and B are 3.6 metres apart on the line of greatest sl
- November 2021, Paper 1, Q15 (13 marks): In this question use g = 9.8 m s−2 A particle P of mass m is attached to two light elastic strings, AP and BP. The other ends of the strings, A and B, are attac
- November 2020, Paper 1, Q13 (12 marks): Two light elastic strings each have one end attached to a particle B of mass 3c kg, which rests on a smooth horizontal table. The other ends of the strings are
- June 2019, Paper 1, Q14 (11 marks): In this question use g = 10 m s−2 A light spring is attached to the base of a long tube and has a mass m attached to the other end, as shown in the diagram. The
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