C.1 Simple harmonic motionIB Physics SL: Flashcards

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Two conditions for SHM?

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Two conditions for SHM?: Acceleration proportional to displacement from equilibrium, and directed towards equilibrium.
Defining equation of SHM?: a = −ω²x.
What does the minus sign in a = −ω²x mean?: Acceleration is always opposite in direction to displacement.
Relationship between T, f and ω?: T = 1/f = 2π/ω.
Period of a mass–spring system?: T = 2π√(m/k).
Period of a simple pendulum?: T = 2π√(l/g), for small angles.
Does a pendulum's period depend on the bob's mass?: No: only on length and g.
Where is acceleration maximum in SHM?: At maximum displacement (the extremes).
Where is speed maximum in SHM?: At the equilibrium position.
Energy at the extremes of an oscillation?: All potential energy; kinetic energy zero.
How can data show motion is SHM?: a/x is constant and negative for all readings.
Effect of friction on an oscillator?: Energy dissipated, amplitude decreases; period nearly unchanged.
Why time many oscillations?: Reaction-time uncertainty is spread over many periods, reducing the percentage uncertainty in T.