AQA•A-Level•Further Maths
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Further Mechanics
Advanced mechanics including circular motion, SHM, and rotational dynamics
Practice 43 subtopics in Further Mechanics. All questions match the AQA A-Level specification.
About Further Mechanics
Further Mechanics is a key topic in the AQA A-Level Further Mathsspecification. This topic covers advanced mechanics including circular motion, shm, and rotational dynamics.
Master all 43 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (43)
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Momentum in two dimensionsConservation of momentum (2D)Impulse-momentum theoremCoefficient of restitutionDirect collisionsOblique collisionsSuccessive collisionsWork done by variable forcesWork-energy theoremKinetic energy in 2DPotential energy (gravitational)Elastic potential energyConservation of energyPower = FvAngular velocity ωAngular acceleration αCentripetal acceleration a = v^2/r = ω^2rCentripetal forceHorizontal circular motionVertical circular motionConical pendulumBanking of roadsMotion inside loopsDefining equation: ẍ = -ω^2xSolutions: x = A cos(ωt + φ)Period T = 2π/ωVelocity: v = ±ω√(A^2 - x^2)Acceleration: a = -ω^2xEnergy in SHMSprings and SHMSimple pendulumCompound pendulumHooke's law: T = λx/lNatural length and extensionElastic potential energy: E = λx^2/(2l)Problems with elastic stringsVertical oscillationsMoment of inertiaAngular momentum L = IωRotational kinetic energy: (1/2)Iω^2Torque and angular acceleration: τ = IαConservation of angular momentumCombined rotational and linear motion
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