Circular motion — AS & A Level Further Mathematics (9231) questions by topic
Conical-pendulum and vertical-circle problems anchor this topic: finding tensions and angular speed for two particles on strings attached to a fixed point O, and finding the angle a string makes with the vertical when a particle held at rest is released and moves in a circle.
Find and show are the two command words across 14 questions from 2023 to 2025 papers, worth from 3 to 11 marks, where resolving forces towards the centre of the circle correctly is the technique every part depends on. With no examiner-report extracts logged for this topic, submitting each force-resolution derivation for instant marking is the way to confirm the centripetal equation is set up correctly before angular speed or tension is calculated from it.
May–June 2025, Paper 31
A fixed hollow sphere has radius a and centre O. The points A, B and C lie on the inner surface of the sphere with OA and BC horizontal. A portion of the sphere has been removed…
Answer this question and get it marked →May–June 2025, Paper 33
A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed point O. The particle moves in a…
Answer this question and get it marked →May–June 2025, Paper 34
A hollow cone with a smooth inner surface is fixed with its vertex O downwards. The semi-vertical angle of the cone is alpha, where tan(alpha) = 3/4. A light inextensible string…
Answer this question and get it marked →May–June 2024, Paper 31
Two particles A and B of masses m and km respectively are connected by a light inextensible string of length a. The particles are placed on a rough horizontal circular turntable…
Answer this question and get it marked →May–June 2024, Paper 32
Two particles A and B of masses m and km respectively are connected by a light inextensible string of length a. The particles are placed on a rough horizontal circular turntable…
Answer this question and get it marked →October–November 2024, Paper 31
A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed point O. The particle P is held at the…
Answer this question and get it marked →A particle P of mass 0.05 kg is attached to one end of a light inextensible string of length 1 m. The other end of the string is attached to a fixed point O. A particle Q of mass…
Answer this question and get it marked →October–November 2024, Paper 33
A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed point O. The particle P is held at the…
Answer this question and get it marked →A particle P of mass 0.05 kg is attached to one end of a light inextensible string of length 1 m. The other end of the string is attached to a fixed point O. A particle Q of mass…
Answer this question and get it marked →May–June 2023, Paper 31
A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed point O. The particle P is held at the…
Answer this question and get it marked →May–June 2023, Paper 33
A particle P of mass m is attached to one end of a light inextensible string of length a. The other end of the string is attached to a fixed point O. The particle P is held at the…
Answer this question and get it marked →October–November 2023, Paper 31
A particle P of mass m is attached to one end of a light inextensible rod of length 3a. An identical particle Q is attached to the other end of the rod. The rod is smoothly…
Answer this question and get it marked →October–November 2023, Paper 32
One end of a light inextensible string of length a is attached to a fixed point O. The other end of the string is attached to a particle of mass m. The string is taut and makes an…
Answer this question and get it marked →October–November 2023, Paper 33
A particle P of mass m is attached to one end of a light inextensible rod of length 3a. An identical particle Q is attached to the other end of the rod. The rod is smoothly…
Answer this question and get it marked →Other AS & A Level Further Mathematics topics
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