M3.3.2 - Simple harmonic motion

Prove that motion is simple harmonic by showing acceleration has the form x¨ = −ω²x, and solve SHM problems using geometric or calculus methods and standard formulae.

Use simple harmonic motion to connect the rule to the data and decision in the question.

This matters because simple harmonic motion determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply simple harmonic motion to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Simple harmonic motion is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.