The aim of this chapter is to investigate a particularly straightforward type of motion
known as simple harmonic oscillation, and also to introduce the differential
equation that governs such motion, which is known as the simple harmonic
oscillator equation. We shall discover that simple harmonic oscillation always
involves a back and forth flow of energy between two different energy types, with the total
energy remaining constant in time. We shall also learn that
the linear nature of the simple harmonic oscillator equation greatly facilitates its solution. In this chapter, examples
are drawn from simple mechanical and electrical systems.