← Further Maths syllabus

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Further mechanics

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you find the centre of mass of a system of particles or a lamina, and how does it determine equilibrium?

Centre of mass of a system of particles, of uniform laminae and standard shapes, of composite bodies, and using the centre of mass to analyse suspended and toppling bodies.
A focused answer to the AQA A-Level Further Mathematics centre of mass content, covering the centre of mass of a system of particles, uniform laminae and standard shapes, composite bodies, and using the centre of mass to analyse suspended and toppling bodies.
10 min answer →

How do you analyse motion in a circle, both at constant speed and in a vertical plane?

Angular speed, the relationship between linear and angular speed, centripetal acceleration and force, horizontal circular motion such as the conical pendulum, and motion in a vertical circle.
A focused answer to the AQA A-Level Further Mathematics circular motion content, covering angular speed, the relationship between linear and angular speed, centripetal acceleration and force, horizontal circular motion such as the conical pendulum, and motion in a vertical circle.
11 min answer →

How do you use the dimensions of physical quantities to check equations and predict relationships?

The dimensions of physical quantities in terms of mass, length and time, checking equations for dimensional consistency, and using dimensional analysis to find the form of a relationship.
A focused answer to the AQA A-Level Further Mathematics dimensional analysis content, covering the dimensions of physical quantities in terms of mass, length and time, checking equations for dimensional consistency, and using dimensional analysis to predict the form of a physical relationship.
9 min answer →

How do you use conservation of momentum and the coefficient of restitution to analyse collisions and impulses?

Conservation of linear momentum, impulse as change in momentum, the coefficient of restitution and Newton's experimental law, direct and oblique impacts, and successive collisions.
A focused answer to the AQA A-Level Further Mathematics momentum and collisions content, covering conservation of linear momentum, impulse as change in momentum, the coefficient of restitution and Newton's experimental law, direct and oblique impacts, and successive collisions.
11 min answer →

How do work, energy and power relate, and how do you use the work-energy principle and conservation of energy?

Work done by a force, kinetic and potential energy, the work-energy principle, conservation of mechanical energy, power as the rate of doing work, and work done against resistance.
A focused answer to the AQA A-Level Further Mathematics work, energy and power content, covering work done by a force, kinetic and potential energy, the work-energy principle, conservation of mechanical energy, power as the rate of doing work, and work done against resistance.
10 min answer →