May/June 2026 Paper 41

2026 · 6 questions · 12 parts · 50 marks

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Q1–/6 mks
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Q4–/10 mks
Q5–/10 mks
Q6–/10 mks
Context for question 4
A smooth fixed pulley with a light inextensible string over it; particle A of mass 3 kg hangs from one end, and particles B (1.5 kg) and C (m kg) hang together from the other end, with the hanging parts of the string vertical.
Three particles , and have masses , and respectively, where . Particles and are attached to the ends of a light inextensible string that passes over a smooth fixed pulley. Particle is attached to particle . The system is held at rest with the string taut and the hanging parts of the string vertical (see diagram).
4(a)Newtons Laws Connected ParticlesHard4 marks
The system is released from rest and while the three particles are all attached as described, the tension in the string is . Find the value of .
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4(b)Newtons Laws Connected ParticlesHard6 marks
At the instant when has moved a distance upwards from its initial position, separates from and falls away. In the subsequent motion, and continue to move and does not reach the pulley. Find the total time from when the system is released until first comes to instantaneous rest.
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Total time