AQA•A-Level•Physics
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Further Mechanics
Circular motion, simple harmonic motion and resonance
Practice 39 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 Physicsspecification. This topic covers circular motion, simple harmonic motion and resonance.
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All Subtopics (39)
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Angular displacement in radiansAngular velocity: ω = θ/t = 2πfLinear speed: v = ωrCentripetal acceleration: a = v²/r = ω²rCentripetal force: F = mv²/r = mω²rObjects in circular paths (horizontal)Objects in vertical circlesConical pendulumBanked tracksConditions for SHM: a ∝ -xDefining equation: a = -ω²xAngular frequency: ω = 2πfDisplacement equation: x = A cos(ωt)Velocity equation: v = -Aω sin(ωt)Velocity-displacement relation: v = ±ω√(A² - x²)Maximum velocity: vmax = ωAMaximum acceleration: amax = ω²APhase relationships between x, v, aGraphs of SHM quantitiesMass-spring system period: T = 2π√(m/k)Simple pendulum period: T = 2π√(L/g)Energy in SHMKinetic and potential energy exchangeTotal energy: E = ½kA² = ½mω²A²Energy-time graphsEnergy-displacement graphsRequired practical: mass-spring oscillationsRequired practical: simple pendulumFree oscillations and natural frequencyDamping: light, heavy, criticalEffect of damping on amplitudeForced vibrationsDriving frequencyResonance at f = f₀Amplitude-frequency graphsEffect of damping on resonanceSharpness of resonance peakExamples of resonanceBarton's pendulums
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