A-Level Physics OCR A H556

5.3.1: Simple harmonic oscillations

#5.3.1a

displacement, amplitude, period, frequency, angular frequency and phase difference

#5.3.1b

angular frequency ω; $ω = \dfrac{2π}{T}$ or $ω = 2πf$

#5.3.1c

(i) simple harmonic motion; defining equation $a = -ω^2x$

(ii) techniques and procedures used to determine the period/frequency of simple harmonic oscillations

PAG10 e.g. mass on a spring, pendulum

#5.3.1d

solutions to the equation $a = -ω^2x$ e.g. $x = A\cos{ωt}$ or $x = A\sin{ωt}$

#5.3.1e

velocity $v = ±ω\sqrt{A^2 - x^2}$ hence $v_{max} = ωA$

#5.3.1f

the period of a simple harmonic oscillator is independent of its amplitude (isochronous oscillator)

#5.3.1g

graphical methods to relate the changes in displacement, velocity and acceleration during simple harmonic motion.

5.2.2

Centripetal force

5.3.2

Energy of a simple harmonic oscillator