Elastic strings and springs: Edexcel International A Level Further Maths questions

Every Edexcel International A Level Further Maths exam question on M3.2 Elastic strings and springs, 2019–2025, with its mark scheme and examiner’s report.

All 19 questions on Elastic strings and springs, as a list

June 2025, Mechanics 3 (M3), Q1 (7 marks): A B C 2a 1.2a Figure 1 A uniform rod AB has mass m and length 2a. The end A is freely hinged to a fixed point. A light elastic string has modulus of elasticity
June 2025, Mechanics 3 (M3), Q4 (8 marks): A D B V C 3 2 ag 3 2 a 4a Figure 3 A light elastic string has natural length 3a and modulus of elasticity mg. One end of the string is attached to the point A a
January 2025, Mechanics 3 (M3), Q2 (10 marks): A light elastic string AB has natural length 3a and modulus of elasticity 20 7 mg When the string is unstretched, two particles, each of mass m, are attached to
January 2025, Mechanics 3 (M3), Q3 (7 marks): O A B V 2a 3 2 a ag Figure 2 A light elastic string has natural length a and modulus of elasticity mg. One end of the elastic string is attached to a fixed poin
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), Q1 (8 marks): A α 5a kmg B (m) Figure 1 A light elastic string AB has natural length 4a and modulus of elasticity λ. The end A is attached to a fixed point and the end B is a
January 2024, Mechanics 3 (M3), Q2 (9 marks): A 2l B θ Figure 1 A light elastic spring has natural length l and modulus of elasticity λ One end of the spring is attached to a point A on a smooth plane. The
June 2023, Mechanics 3 (M3), Q2 (6 marks): A B θ Figure 2 A light elastic string AB has modulus of elasticity 2mg and natural length ka, where k is a constant. The end A of the elastic string is attached
June 2023, Mechanics 3 (M3), Q7 (16 marks): A particle P of mass m is attached to one end of a light elastic string of natural length l. The other end of the string is attached to a fixed point on a ceili
January 2023, Mechanics 3 (M3), Q2 (6 marks): A α B F Figure 2 A light elastic string AB has natural length l and modulus of elasticity 2mg. The end A of the elastic string is attached to a fixed point. The
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), Q4 (11 marks): A 30° B C l Figure 2 One end of a light elastic string, of natural length l and modulus of elasticity λ, is fixed to a point A on a smooth plane. The plane is i
January 2022, Mechanics 3 (M3), Q6 (15 marks): A particle P of mass 1.2 kg is attached to the midpoint of a light elastic string of natural length 0.5 m and modulus of elasticity λ newtons. The fixed points
October 2021, Mechanics 3 (M3), Q4 (11 marks): A light elastic string has natural length 2a and modulus of elasticity 2mg. One end of the elastic string is attached to a fixed point O. A particle P of mass 1
June 2021, Mechanics 3 (M3), Q6 (14 marks): A particle P of mass 0.4 kg is attached to one end of a light elastic string, of natural length 0.8 m and modulus of elasticity 0.6 N. The other end of the stri
January 2021, Mechanics 3 (M3), Q7 (11 marks): P A O θ Figure 8 A particle P of mass 0.5 kg is attached to one end of a light elastic string of natural length 2 m and modulus of elasticity 3 N. The other end
October 2020, Mechanics 3 (M3), Q2 (8 marks): 3 m 2 m A B Figure 2 A smooth bead of weight 12 N is threaded onto a light elastic string of natural length 3 m. The points A and B are on a horizontal ceiling,
October 2020, Mechanics 3 (M3), Q3 (7 marks): 1 m 0.3 m 30° A B C Figure 3 A particle P of mass 2 kg is attached to one end of a light elastic spring, of natural length 0.8 m and modulus of elasticity 12 N.
January 2020, Mechanics 3 (M3), Q4 (11 marks): A light elastic string has modulus of elasticity 2mg and natural length l. One end of the string is fixed to a point A on a rough plane inclined to the horizont

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