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Simple harmonic motion

Sandy Loynd looks at the maths behind simple harmonic motion (SHM) — a type of oscillation that is found in a huge variety of situations — and compares the equations of SHM with those of circular motion

Simple harmonic motion (SHM) is an area of mechanics that comes up time and again when looking at bodies moving in a regular, repeating fashion, for example a swinging pendulum, a mass oscillating on a spring (see Skillset, pp. 6–9) or an atom vibrating in a solid. The same maths describes all these and many other oscillations.

SHM is defined as the motion of a body when:

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Oscillations

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Hedy Lamarr: 1917–2000

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